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Finding the Third Proportional to 24,004.88 and 36,339

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Solution

The third proportional to 24,004.88 and 36,339 is: 55,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,004.88 : 36,339 = 36,339 : x
  2. Step 2: Convert to fraction form
    24,004.88/36,339 = 36,339/x
  3. Step 3: Cross multiply
    24,004.88x = 36,339 × 36,339
  4. Step 4: Simplify right side
    24,004.88x = 1,320,522,921
  5. Step 5: Solve for x
    x = 1,320,522,921/24,004.88
  6. Step 6: Final answer
    x = 55,010.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.