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Finding the Third Proportional to 10,572 and 12,060

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Solution

The third proportional to 10,572 and 12,060 is: 13,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 12,060 = 12,060 : x
  2. Step 2: Convert to fraction form
    10,572/12,060 = 12,060/x
  3. Step 3: Cross multiply
    10,572x = 12,060 × 12,060
  4. Step 4: Simplify right side
    10,572x = 145,443,600
  5. Step 5: Solve for x
    x = 145,443,600/10,572
  6. Step 6: Final answer
    x = 13,757.43

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.