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Finding the Third Proportional to 49,425.38 and 76,595.91

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Solution

The third proportional to 49,425.38 and 76,595.91 is: 118,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,425.38 : 76,595.91 = 76,595.91 : x
  2. Step 2: Convert to fraction form
    49,425.38/76,595.91 = 76,595.91/x
  3. Step 3: Cross multiply
    49,425.38x = 76,595.91 × 76,595.91
  4. Step 4: Simplify right side
    49,425.38x = 5,866,932,854.26
  5. Step 5: Solve for x
    x = 5,866,932,854.26/49,425.38
  6. Step 6: Final answer
    x = 118,702.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.