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Finding the Third Proportional to 38,876.63 and 58,350.38

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Solution

The third proportional to 38,876.63 and 58,350.38 is: 87,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876.63 : 58,350.38 = 58,350.38 : x
  2. Step 2: Convert to fraction form
    38,876.63/58,350.38 = 58,350.38/x
  3. Step 3: Cross multiply
    38,876.63x = 58,350.38 × 58,350.38
  4. Step 4: Simplify right side
    38,876.63x = 3,404,766,262.64
  5. Step 5: Solve for x
    x = 3,404,766,262.64/38,876.63
  6. Step 6: Final answer
    x = 87,578.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.