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Finding the Third Proportional to 6,432 and 13,710

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Solution

The third proportional to 6,432 and 13,710 is: 29,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432 : 13,710 = 13,710 : x
  2. Step 2: Convert to fraction form
    6,432/13,710 = 13,710/x
  3. Step 3: Cross multiply
    6,432x = 13,710 × 13,710
  4. Step 4: Simplify right side
    6,432x = 187,964,100
  5. Step 5: Solve for x
    x = 187,964,100/6,432
  6. Step 6: Final answer
    x = 29,223.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.