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Finding the Third Proportional to 20,181.25 and 31,498.13

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Solution

The third proportional to 20,181.25 and 31,498.13 is: 49,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.25 : 31,498.13 = 31,498.13 : x
  2. Step 2: Convert to fraction form
    20,181.25/31,498.13 = 31,498.13/x
  3. Step 3: Cross multiply
    20,181.25x = 31,498.13 × 31,498.13
  4. Step 4: Simplify right side
    20,181.25x = 992,131,878.52
  5. Step 5: Solve for x
    x = 992,131,878.52/20,181.25
  6. Step 6: Final answer
    x = 49,161.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.