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Finding the Third Proportional to 24,778.41 and 57,864.38

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Solution

The third proportional to 24,778.41 and 57,864.38 is: 135,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.41 : 57,864.38 = 57,864.38 : x
  2. Step 2: Convert to fraction form
    24,778.41/57,864.38 = 57,864.38/x
  3. Step 3: Cross multiply
    24,778.41x = 57,864.38 × 57,864.38
  4. Step 4: Simplify right side
    24,778.41x = 3,348,285,894.14
  5. Step 5: Solve for x
    x = 3,348,285,894.14/24,778.41
  6. Step 6: Final answer
    x = 135,129.19

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.