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Finding the Third Proportional to 24,007.50 and 55,350.75

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Solution

The third proportional to 24,007.50 and 55,350.75 is: 127,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,007.50 : 55,350.75 = 55,350.75 : x
  2. Step 2: Convert to fraction form
    24,007.50/55,350.75 = 55,350.75/x
  3. Step 3: Cross multiply
    24,007.50x = 55,350.75 × 55,350.75
  4. Step 4: Simplify right side
    24,007.50x = 3,063,705,525.56
  5. Step 5: Solve for x
    x = 3,063,705,525.56/24,007.50
  6. Step 6: Final answer
    x = 127,614.52

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.