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Finding the Third Proportional to 31,854 and 44,553

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Solution

The third proportional to 31,854 and 44,553 is: 62,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 44,553 = 44,553 : x
  2. Step 2: Convert to fraction form
    31,854/44,553 = 44,553/x
  3. Step 3: Cross multiply
    31,854x = 44,553 × 44,553
  4. Step 4: Simplify right side
    31,854x = 1,984,969,809
  5. Step 5: Solve for x
    x = 1,984,969,809/31,854
  6. Step 6: Final answer
    x = 62,314.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.