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Finding the Third Proportional to 24,740.44 and 52,351.31

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Solution

The third proportional to 24,740.44 and 52,351.31 is: 110,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.44 : 52,351.31 = 52,351.31 : x
  2. Step 2: Convert to fraction form
    24,740.44/52,351.31 = 52,351.31/x
  3. Step 3: Cross multiply
    24,740.44x = 52,351.31 × 52,351.31
  4. Step 4: Simplify right side
    24,740.44x = 2,740,659,920.47
  5. Step 5: Solve for x
    x = 2,740,659,920.47/24,740.44
  6. Step 6: Final answer
    x = 110,776.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.