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Finding the Third Proportional to 20,447.44 and 31,605.19

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Solution

The third proportional to 20,447.44 and 31,605.19 is: 48,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.44 : 31,605.19 = 31,605.19 : x
  2. Step 2: Convert to fraction form
    20,447.44/31,605.19 = 31,605.19/x
  3. Step 3: Cross multiply
    20,447.44x = 31,605.19 × 31,605.19
  4. Step 4: Simplify right side
    20,447.44x = 998,887,876.91
  5. Step 5: Solve for x
    x = 998,887,876.91/20,447.44
  6. Step 6: Final answer
    x = 48,851.49

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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.