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Finding the Third Proportional to 24,645.94 and 54,006.75

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Solution

The third proportional to 24,645.94 and 54,006.75 is: 118,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.94 : 54,006.75 = 54,006.75 : x
  2. Step 2: Convert to fraction form
    24,645.94/54,006.75 = 54,006.75/x
  3. Step 3: Cross multiply
    24,645.94x = 54,006.75 × 54,006.75
  4. Step 4: Simplify right side
    24,645.94x = 2,916,729,045.56
  5. Step 5: Solve for x
    x = 2,916,729,045.56/24,645.94
  6. Step 6: Final answer
    x = 118,345.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.