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Finding the Third Proportional to 38,890.13 and 59,104.69

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Solution

The third proportional to 38,890.13 and 59,104.69 is: 89,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,890.13 : 59,104.69 = 59,104.69 : x
  2. Step 2: Convert to fraction form
    38,890.13/59,104.69 = 59,104.69/x
  3. Step 3: Cross multiply
    38,890.13x = 59,104.69 × 59,104.69
  4. Step 4: Simplify right side
    38,890.13x = 3,493,364,084.47
  5. Step 5: Solve for x
    x = 3,493,364,084.47/38,890.13
  6. Step 6: Final answer
    x = 89,826.51

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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.