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Finding the Third Proportional to 38,262.38 and 58,613.63

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Solution

The third proportional to 38,262.38 and 58,613.63 is: 89,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262.38 : 58,613.63 = 58,613.63 : x
  2. Step 2: Convert to fraction form
    38,262.38/58,613.63 = 58,613.63/x
  3. Step 3: Cross multiply
    38,262.38x = 58,613.63 × 58,613.63
  4. Step 4: Simplify right side
    38,262.38x = 3,435,557,035.64
  5. Step 5: Solve for x
    x = 3,435,557,035.64/38,262.38
  6. Step 6: Final answer
    x = 89,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.