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Finding the Third Proportional to 20,187.56 and 41,381.72

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Solution

The third proportional to 20,187.56 and 41,381.72 is: 84,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.56 : 41,381.72 = 41,381.72 : x
  2. Step 2: Convert to fraction form
    20,187.56/41,381.72 = 41,381.72/x
  3. Step 3: Cross multiply
    20,187.56x = 41,381.72 × 41,381.72
  4. Step 4: Simplify right side
    20,187.56x = 1,712,446,646.70
  5. Step 5: Solve for x
    x = 1,712,446,646.70/20,187.56
  6. Step 6: Final answer
    x = 84,826.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.