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Finding the Third Proportional to 9,691.50 and 18,167.25

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Solution

The third proportional to 9,691.50 and 18,167.25 is: 34,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.50 : 18,167.25 = 18,167.25 : x
  2. Step 2: Convert to fraction form
    9,691.50/18,167.25 = 18,167.25/x
  3. Step 3: Cross multiply
    9,691.50x = 18,167.25 × 18,167.25
  4. Step 4: Simplify right side
    9,691.50x = 330,048,972.56
  5. Step 5: Solve for x
    x = 330,048,972.56/9,691.50
  6. Step 6: Final answer
    x = 34,055.51

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.