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Finding the Third Proportional to 7,786.13 and 17,521.31

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Solution

The third proportional to 7,786.13 and 17,521.31 is: 39,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 17,521.31 = 17,521.31 : x
  2. Step 2: Convert to fraction form
    7,786.13/17,521.31 = 17,521.31/x
  3. Step 3: Cross multiply
    7,786.13x = 17,521.31 × 17,521.31
  4. Step 4: Simplify right side
    7,786.13x = 306,996,391.72
  5. Step 5: Solve for x
    x = 306,996,391.72/7,786.13
  6. Step 6: Final answer
    x = 39,428.65

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.