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Finding the Third Proportional to 6,548 and 7,160

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Solution

The third proportional to 6,548 and 7,160 is: 7,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548 : 7,160 = 7,160 : x
  2. Step 2: Convert to fraction form
    6,548/7,160 = 7,160/x
  3. Step 3: Cross multiply
    6,548x = 7,160 × 7,160
  4. Step 4: Simplify right side
    6,548x = 51,265,600
  5. Step 5: Solve for x
    x = 51,265,600/6,548
  6. Step 6: Final answer
    x = 7,829.20

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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.