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Finding the Third Proportional to 18,456.19 and 27,701.16

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Solution

The third proportional to 18,456.19 and 27,701.16 is: 41,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,456.19 : 27,701.16 = 27,701.16 : x
  2. Step 2: Convert to fraction form
    18,456.19/27,701.16 = 27,701.16/x
  3. Step 3: Cross multiply
    18,456.19x = 27,701.16 × 27,701.16
  4. Step 4: Simplify right side
    18,456.19x = 767,354,057.59
  5. Step 5: Solve for x
    x = 767,354,057.59/18,456.19
  6. Step 6: Final answer
    x = 41,577.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.