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Finding the Third Proportional to 18,218.25 and 27,705.38

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Solution

The third proportional to 18,218.25 and 27,705.38 is: 42,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218.25 : 27,705.38 = 27,705.38 : x
  2. Step 2: Convert to fraction form
    18,218.25/27,705.38 = 27,705.38/x
  3. Step 3: Cross multiply
    18,218.25x = 27,705.38 × 27,705.38
  4. Step 4: Simplify right side
    18,218.25x = 767,587,803.89
  5. Step 5: Solve for x
    x = 767,587,803.89/18,218.25
  6. Step 6: Final answer
    x = 42,132.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.