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Finding the Third Proportional to 18,098.44 and 42,287.06

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Solution

The third proportional to 18,098.44 and 42,287.06 is: 98,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.44 : 42,287.06 = 42,287.06 : x
  2. Step 2: Convert to fraction form
    18,098.44/42,287.06 = 42,287.06/x
  3. Step 3: Cross multiply
    18,098.44x = 42,287.06 × 42,287.06
  4. Step 4: Simplify right side
    18,098.44x = 1,788,195,654.88
  5. Step 5: Solve for x
    x = 1,788,195,654.88/18,098.44
  6. Step 6: Final answer
    x = 98,803.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.