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Finding the Third Proportional to 8,287.88 and 17,899.73

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Solution

The third proportional to 8,287.88 and 17,899.73 is: 38,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.88 : 17,899.73 = 17,899.73 : x
  2. Step 2: Convert to fraction form
    8,287.88/17,899.73 = 17,899.73/x
  3. Step 3: Cross multiply
    8,287.88x = 17,899.73 × 17,899.73
  4. Step 4: Simplify right side
    8,287.88x = 320,400,490.70
  5. Step 5: Solve for x
    x = 320,400,490.70/8,287.88
  6. Step 6: Final answer
    x = 38,658.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.