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Finding the Third Proportional to 20,165.81 and 31,327.31

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Solution

The third proportional to 20,165.81 and 31,327.31 is: 48,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.81 : 31,327.31 = 31,327.31 : x
  2. Step 2: Convert to fraction form
    20,165.81/31,327.31 = 31,327.31/x
  3. Step 3: Cross multiply
    20,165.81x = 31,327.31 × 31,327.31
  4. Step 4: Simplify right side
    20,165.81x = 981,400,508.47
  5. Step 5: Solve for x
    x = 981,400,508.47/20,165.81
  6. Step 6: Final answer
    x = 48,666.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.