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Finding the Third Proportional to 31,854.50 and 44,553.75

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Solution

The third proportional to 31,854.50 and 44,553.75 is: 62,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.50 : 44,553.75 = 44,553.75 : x
  2. Step 2: Convert to fraction form
    31,854.50/44,553.75 = 44,553.75/x
  3. Step 3: Cross multiply
    31,854.50x = 44,553.75 × 44,553.75
  4. Step 4: Simplify right side
    31,854.50x = 1,985,036,639.06
  5. Step 5: Solve for x
    x = 1,985,036,639.06/31,854.50
  6. Step 6: Final answer
    x = 62,315.74

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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.