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Finding the Third Proportional to 38,044.25 and 59,138.75

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Solution

The third proportional to 38,044.25 and 59,138.75 is: 91,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044.25 : 59,138.75 = 59,138.75 : x
  2. Step 2: Convert to fraction form
    38,044.25/59,138.75 = 59,138.75/x
  3. Step 3: Cross multiply
    38,044.25x = 59,138.75 × 59,138.75
  4. Step 4: Simplify right side
    38,044.25x = 3,497,391,751.56
  5. Step 5: Solve for x
    x = 3,497,391,751.56/38,044.25
  6. Step 6: Final answer
    x = 91,929.58

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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.