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Finding the Third Proportional to 20,105.88 and 42,881.43

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Solution

The third proportional to 20,105.88 and 42,881.43 is: 91,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.88 : 42,881.43 = 42,881.43 : x
  2. Step 2: Convert to fraction form
    20,105.88/42,881.43 = 42,881.43/x
  3. Step 3: Cross multiply
    20,105.88x = 42,881.43 × 42,881.43
  4. Step 4: Simplify right side
    20,105.88x = 1,838,817,179.55
  5. Step 5: Solve for x
    x = 1,838,817,179.55/20,105.88
  6. Step 6: Final answer
    x = 91,456.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.