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Finding the Third Proportional to 38,902.38 and 55,050.50

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Solution

The third proportional to 38,902.38 and 55,050.50 is: 77,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902.38 : 55,050.50 = 55,050.50 : x
  2. Step 2: Convert to fraction form
    38,902.38/55,050.50 = 55,050.50/x
  3. Step 3: Cross multiply
    38,902.38x = 55,050.50 × 55,050.50
  4. Step 4: Simplify right side
    38,902.38x = 3,030,557,550.25
  5. Step 5: Solve for x
    x = 3,030,557,550.25/38,902.38
  6. Step 6: Final answer
    x = 77,901.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.