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Finding the Third Proportional to 31,352.25 and 48,565.88

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Solution

The third proportional to 31,352.25 and 48,565.88 is: 75,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.25 : 48,565.88 = 48,565.88 : x
  2. Step 2: Convert to fraction form
    31,352.25/48,565.88 = 48,565.88/x
  3. Step 3: Cross multiply
    31,352.25x = 48,565.88 × 48,565.88
  4. Step 4: Simplify right side
    31,352.25x = 2,358,644,214.52
  5. Step 5: Solve for x
    x = 2,358,644,214.52/31,352.25
  6. Step 6: Final answer
    x = 75,230.46

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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.