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Finding the Third Proportional to 8,414.88 and 17,700.25

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Solution

The third proportional to 8,414.88 and 17,700.25 is: 37,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.88 : 17,700.25 = 17,700.25 : x
  2. Step 2: Convert to fraction form
    8,414.88/17,700.25 = 17,700.25/x
  3. Step 3: Cross multiply
    8,414.88x = 17,700.25 × 17,700.25
  4. Step 4: Simplify right side
    8,414.88x = 313,298,850.06
  5. Step 5: Solve for x
    x = 313,298,850.06/8,414.88
  6. Step 6: Final answer
    x = 37,231.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.