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Finding the Third Proportional to 38,842.25 and 58,788.38

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Solution

The third proportional to 38,842.25 and 58,788.38 is: 88,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.25 : 58,788.38 = 58,788.38 : x
  2. Step 2: Convert to fraction form
    38,842.25/58,788.38 = 58,788.38/x
  3. Step 3: Cross multiply
    38,842.25x = 58,788.38 × 58,788.38
  4. Step 4: Simplify right side
    38,842.25x = 3,456,073,035.14
  5. Step 5: Solve for x
    x = 3,456,073,035.14/38,842.25
  6. Step 6: Final answer
    x = 88,977.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.