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Finding the Third Proportional to 20,098.13 and 31,853.25

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Solution

The third proportional to 20,098.13 and 31,853.25 is: 50,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.13 : 31,853.25 = 31,853.25 : x
  2. Step 2: Convert to fraction form
    20,098.13/31,853.25 = 31,853.25/x
  3. Step 3: Cross multiply
    20,098.13x = 31,853.25 × 31,853.25
  4. Step 4: Simplify right side
    20,098.13x = 1,014,629,535.56
  5. Step 5: Solve for x
    x = 1,014,629,535.56/20,098.13
  6. Step 6: Final answer
    x = 50,483.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.