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Finding the Third Proportional to 8,231.63 and 17,750.25

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Solution

The third proportional to 8,231.63 and 17,750.25 is: 38,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 17,750.25 = 17,750.25 : x
  2. Step 2: Convert to fraction form
    8,231.63/17,750.25 = 17,750.25/x
  3. Step 3: Cross multiply
    8,231.63x = 17,750.25 × 17,750.25
  4. Step 4: Simplify right side
    8,231.63x = 315,071,375.06
  5. Step 5: Solve for x
    x = 315,071,375.06/8,231.63
  6. Step 6: Final answer
    x = 38,275.72

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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.