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Finding the Third Proportional to 38,562.19 and 58,329.56

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Solution

The third proportional to 38,562.19 and 58,329.56 is: 88,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562.19 : 58,329.56 = 58,329.56 : x
  2. Step 2: Convert to fraction form
    38,562.19/58,329.56 = 58,329.56/x
  3. Step 3: Cross multiply
    38,562.19x = 58,329.56 × 58,329.56
  4. Step 4: Simplify right side
    38,562.19x = 3,402,337,861.44
  5. Step 5: Solve for x
    x = 3,402,337,861.44/38,562.19
  6. Step 6: Final answer
    x = 88,229.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.