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Finding the Third Proportional to 6,560 and 7,120

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Solution

The third proportional to 6,560 and 7,120 is: 7,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 7,120 = 7,120 : x
  2. Step 2: Convert to fraction form
    6,560/7,120 = 7,120/x
  3. Step 3: Cross multiply
    6,560x = 7,120 × 7,120
  4. Step 4: Simplify right side
    6,560x = 50,694,400
  5. Step 5: Solve for x
    x = 50,694,400/6,560
  6. Step 6: Final answer
    x = 7,727.80

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.