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Finding the Third Proportional to 6,560 and 7,100

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Solution

The third proportional to 6,560 and 7,100 is: 7,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 7,100 = 7,100 : x
  2. Step 2: Convert to fraction form
    6,560/7,100 = 7,100/x
  3. Step 3: Cross multiply
    6,560x = 7,100 × 7,100
  4. Step 4: Simplify right side
    6,560x = 50,410,000
  5. Step 5: Solve for x
    x = 50,410,000/6,560
  6. Step 6: Final answer
    x = 7,684.45

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.