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Finding the Third Proportional to 46,713 and 72,531

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Solution

The third proportional to 46,713 and 72,531 is: 112,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713 : 72,531 = 72,531 : x
  2. Step 2: Convert to fraction form
    46,713/72,531 = 72,531/x
  3. Step 3: Cross multiply
    46,713x = 72,531 × 72,531
  4. Step 4: Simplify right side
    46,713x = 5,260,745,961
  5. Step 5: Solve for x
    x = 5,260,745,961/46,713
  6. Step 6: Final answer
    x = 112,618.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.