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Finding the Third Proportional to 38,569.50 and 58,668.75

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Solution

The third proportional to 38,569.50 and 58,668.75 is: 89,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.50 : 58,668.75 = 58,668.75 : x
  2. Step 2: Convert to fraction form
    38,569.50/58,668.75 = 58,668.75/x
  3. Step 3: Cross multiply
    38,569.50x = 58,668.75 × 58,668.75
  4. Step 4: Simplify right side
    38,569.50x = 3,442,022,226.56
  5. Step 5: Solve for x
    x = 3,442,022,226.56/38,569.50
  6. Step 6: Final answer
    x = 89,242.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.