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Finding the Third Proportional to 24,720.38 and 54,483

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Solution

The third proportional to 24,720.38 and 54,483 is: 120,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.38 : 54,483 = 54,483 : x
  2. Step 2: Convert to fraction form
    24,720.38/54,483 = 54,483/x
  3. Step 3: Cross multiply
    24,720.38x = 54,483 × 54,483
  4. Step 4: Simplify right side
    24,720.38x = 2,968,397,289
  5. Step 5: Solve for x
    x = 2,968,397,289/24,720.38
  6. Step 6: Final answer
    x = 120,078.97

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Why These Related Problems?

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