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Finding the Third Proportional to 24,951.38 and 53,858.25

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Solution

The third proportional to 24,951.38 and 53,858.25 is: 116,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.38 : 53,858.25 = 53,858.25 : x
  2. Step 2: Convert to fraction form
    24,951.38/53,858.25 = 53,858.25/x
  3. Step 3: Cross multiply
    24,951.38x = 53,858.25 × 53,858.25
  4. Step 4: Simplify right side
    24,951.38x = 2,900,711,093.06
  5. Step 5: Solve for x
    x = 2,900,711,093.06/24,951.38
  6. Step 6: Final answer
    x = 116,254.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.