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Finding the Third Proportional to 31,725 and 44,617.50

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Solution

The third proportional to 31,725 and 44,617.50 is: 62,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725 : 44,617.50 = 44,617.50 : x
  2. Step 2: Convert to fraction form
    31,725/44,617.50 = 44,617.50/x
  3. Step 3: Cross multiply
    31,725x = 44,617.50 × 44,617.50
  4. Step 4: Simplify right side
    31,725x = 1,990,721,306.25
  5. Step 5: Solve for x
    x = 1,990,721,306.25/31,725
  6. Step 6: Final answer
    x = 62,749.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.