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Finding the Third Proportional to 24,147.84 and 52,449.75

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Solution

The third proportional to 24,147.84 and 52,449.75 is: 113,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.84 : 52,449.75 = 52,449.75 : x
  2. Step 2: Convert to fraction form
    24,147.84/52,449.75 = 52,449.75/x
  3. Step 3: Cross multiply
    24,147.84x = 52,449.75 × 52,449.75
  4. Step 4: Simplify right side
    24,147.84x = 2,750,976,275.06
  5. Step 5: Solve for x
    x = 2,750,976,275.06/24,147.84
  6. Step 6: Final answer
    x = 113,922.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.