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Finding the Third Proportional to 49,835.25 and 74,613.38

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Solution

The third proportional to 49,835.25 and 74,613.38 is: 111,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,835.25 : 74,613.38 = 74,613.38 : x
  2. Step 2: Convert to fraction form
    49,835.25/74,613.38 = 74,613.38/x
  3. Step 3: Cross multiply
    49,835.25x = 74,613.38 × 74,613.38
  4. Step 4: Simplify right side
    49,835.25x = 5,567,155,728.89
  5. Step 5: Solve for x
    x = 5,567,155,728.89/49,835.25
  6. Step 6: Final answer
    x = 111,711.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.