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Finding the Third Proportional to 24,909.75 and 53,755.88

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Solution

The third proportional to 24,909.75 and 53,755.88 is: 116,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.75 : 53,755.88 = 53,755.88 : x
  2. Step 2: Convert to fraction form
    24,909.75/53,755.88 = 53,755.88/x
  3. Step 3: Cross multiply
    24,909.75x = 53,755.88 × 53,755.88
  4. Step 4: Simplify right side
    24,909.75x = 2,889,694,097.02
  5. Step 5: Solve for x
    x = 2,889,694,097.02/24,909.75
  6. Step 6: Final answer
    x = 116,006.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.