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Finding the Third Proportional to 38,050.31 and 59,146.88

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Solution

The third proportional to 38,050.31 and 59,146.88 is: 91,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,050.31 : 59,146.88 = 59,146.88 : x
  2. Step 2: Convert to fraction form
    38,050.31/59,146.88 = 59,146.88/x
  3. Step 3: Cross multiply
    38,050.31x = 59,146.88 × 59,146.88
  4. Step 4: Simplify right side
    38,050.31x = 3,498,352,822.27
  5. Step 5: Solve for x
    x = 3,498,352,822.27/38,050.31
  6. Step 6: Final answer
    x = 91,940.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.