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Finding the Third Proportional to 19,412.06 and 41,592.47

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Solution

The third proportional to 19,412.06 and 41,592.47 is: 89,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.06 : 41,592.47 = 41,592.47 : x
  2. Step 2: Convert to fraction form
    19,412.06/41,592.47 = 41,592.47/x
  3. Step 3: Cross multiply
    19,412.06x = 41,592.47 × 41,592.47
  4. Step 4: Simplify right side
    19,412.06x = 1,729,933,456.72
  5. Step 5: Solve for x
    x = 1,729,933,456.72/19,412.06
  6. Step 6: Final answer
    x = 89,116.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.