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Finding the Third Proportional to 24,804.75 and 58,542.75

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Solution

The third proportional to 24,804.75 and 58,542.75 is: 138,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.75 : 58,542.75 = 58,542.75 : x
  2. Step 2: Convert to fraction form
    24,804.75/58,542.75 = 58,542.75/x
  3. Step 3: Cross multiply
    24,804.75x = 58,542.75 × 58,542.75
  4. Step 4: Simplify right side
    24,804.75x = 3,427,253,577.56
  5. Step 5: Solve for x
    x = 3,427,253,577.56/24,804.75
  6. Step 6: Final answer
    x = 138,169.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.