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Finding the Third Proportional to 31,280 and 45,744

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Solution

The third proportional to 31,280 and 45,744 is: 66,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280 : 45,744 = 45,744 : x
  2. Step 2: Convert to fraction form
    31,280/45,744 = 45,744/x
  3. Step 3: Cross multiply
    31,280x = 45,744 × 45,744
  4. Step 4: Simplify right side
    31,280x = 2,092,513,536
  5. Step 5: Solve for x
    x = 2,092,513,536/31,280
  6. Step 6: Final answer
    x = 66,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.