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Finding the Third Proportional to 12,537 and 27,534

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Solution

The third proportional to 12,537 and 27,534 is: 60,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 27,534 = 27,534 : x
  2. Step 2: Convert to fraction form
    12,537/27,534 = 27,534/x
  3. Step 3: Cross multiply
    12,537x = 27,534 × 27,534
  4. Step 4: Simplify right side
    12,537x = 758,121,156
  5. Step 5: Solve for x
    x = 758,121,156/12,537
  6. Step 6: Final answer
    x = 60,470.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.