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Finding the Third Proportional to 38,230.31 and 59,050.69

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Solution

The third proportional to 38,230.31 and 59,050.69 is: 91,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.31 : 59,050.69 = 59,050.69 : x
  2. Step 2: Convert to fraction form
    38,230.31/59,050.69 = 59,050.69/x
  3. Step 3: Cross multiply
    38,230.31x = 59,050.69 × 59,050.69
  4. Step 4: Simplify right side
    38,230.31x = 3,486,983,694.22
  5. Step 5: Solve for x
    x = 3,486,983,694.22/38,230.31
  6. Step 6: Final answer
    x = 91,209.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.