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Finding the Third Proportional to 24,125.38 and 53,158.75

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Solution

The third proportional to 24,125.38 and 53,158.75 is: 117,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125.38 : 53,158.75 = 53,158.75 : x
  2. Step 2: Convert to fraction form
    24,125.38/53,158.75 = 53,158.75/x
  3. Step 3: Cross multiply
    24,125.38x = 53,158.75 × 53,158.75
  4. Step 4: Simplify right side
    24,125.38x = 2,825,852,701.56
  5. Step 5: Solve for x
    x = 2,825,852,701.56/24,125.38
  6. Step 6: Final answer
    x = 117,131.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.