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Finding the Third Proportional to 19,512.14 and 41,125.85

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Solution

The third proportional to 19,512.14 and 41,125.85 is: 86,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.14 : 41,125.85 = 41,125.85 : x
  2. Step 2: Convert to fraction form
    19,512.14/41,125.85 = 41,125.85/x
  3. Step 3: Cross multiply
    19,512.14x = 41,125.85 × 41,125.85
  4. Step 4: Simplify right side
    19,512.14x = 1,691,335,666.74
  5. Step 5: Solve for x
    x = 1,691,335,666.74/19,512.14
  6. Step 6: Final answer
    x = 86,681.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.