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Finding the Third Proportional to 14,491 and 31,751

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Solution

The third proportional to 14,491 and 31,751 is: 69,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491 : 31,751 = 31,751 : x
  2. Step 2: Convert to fraction form
    14,491/31,751 = 31,751/x
  3. Step 3: Cross multiply
    14,491x = 31,751 × 31,751
  4. Step 4: Simplify right side
    14,491x = 1,008,126,001
  5. Step 5: Solve for x
    x = 1,008,126,001/14,491
  6. Step 6: Final answer
    x = 69,569.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.