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Finding the Third Proportional to 7,472.25 and 16,098.75

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Solution

The third proportional to 7,472.25 and 16,098.75 is: 34,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.25 : 16,098.75 = 16,098.75 : x
  2. Step 2: Convert to fraction form
    7,472.25/16,098.75 = 16,098.75/x
  3. Step 3: Cross multiply
    7,472.25x = 16,098.75 × 16,098.75
  4. Step 4: Simplify right side
    7,472.25x = 259,169,751.56
  5. Step 5: Solve for x
    x = 259,169,751.56/7,472.25
  6. Step 6: Final answer
    x = 34,684.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.