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Finding the Third Proportional to 31,495 and 66,543

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Solution

The third proportional to 31,495 and 66,543 is: 140,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495 : 66,543 = 66,543 : x
  2. Step 2: Convert to fraction form
    31,495/66,543 = 66,543/x
  3. Step 3: Cross multiply
    31,495x = 66,543 × 66,543
  4. Step 4: Simplify right side
    31,495x = 4,427,970,849
  5. Step 5: Solve for x
    x = 4,427,970,849/31,495
  6. Step 6: Final answer
    x = 140,592.82

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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.