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Finding the Third Proportional to 8,969.91 and 18,387.84

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Solution

The third proportional to 8,969.91 and 18,387.84 is: 37,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.91 : 18,387.84 = 18,387.84 : x
  2. Step 2: Convert to fraction form
    8,969.91/18,387.84 = 18,387.84/x
  3. Step 3: Cross multiply
    8,969.91x = 18,387.84 × 18,387.84
  4. Step 4: Simplify right side
    8,969.91x = 338,112,797.77
  5. Step 5: Solve for x
    x = 338,112,797.77/8,969.91
  6. Step 6: Final answer
    x = 37,694.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.