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Finding the Third Proportional to 24,585.71 and 52,755.68

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Solution

The third proportional to 24,585.71 and 52,755.68 is: 113,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.71 : 52,755.68 = 52,755.68 : x
  2. Step 2: Convert to fraction form
    24,585.71/52,755.68 = 52,755.68/x
  3. Step 3: Cross multiply
    24,585.71x = 52,755.68 × 52,755.68
  4. Step 4: Simplify right side
    24,585.71x = 2,783,161,739.29
  5. Step 5: Solve for x
    x = 2,783,161,739.29/24,585.71
  6. Step 6: Final answer
    x = 113,202.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.