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Finding the Third Proportional to 31,491 and 66,537

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Solution

The third proportional to 31,491 and 66,537 is: 140,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491 : 66,537 = 66,537 : x
  2. Step 2: Convert to fraction form
    31,491/66,537 = 66,537/x
  3. Step 3: Cross multiply
    31,491x = 66,537 × 66,537
  4. Step 4: Simplify right side
    31,491x = 4,427,172,369
  5. Step 5: Solve for x
    x = 4,427,172,369/31,491
  6. Step 6: Final answer
    x = 140,585.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.