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Finding the Third Proportional to 19,876.64 and 40,675.92

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Solution

The third proportional to 19,876.64 and 40,675.92 is: 83,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.64 : 40,675.92 = 40,675.92 : x
  2. Step 2: Convert to fraction form
    19,876.64/40,675.92 = 40,675.92/x
  3. Step 3: Cross multiply
    19,876.64x = 40,675.92 × 40,675.92
  4. Step 4: Simplify right side
    19,876.64x = 1,654,530,620.38
  5. Step 5: Solve for x
    x = 1,654,530,620.38/19,876.64
  6. Step 6: Final answer
    x = 83,239.95

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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.