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Finding the Third Proportional to 7,472.25 and 8,793.56

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Solution

The third proportional to 7,472.25 and 8,793.56 is: 10,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.25 : 8,793.56 = 8,793.56 : x
  2. Step 2: Convert to fraction form
    7,472.25/8,793.56 = 8,793.56/x
  3. Step 3: Cross multiply
    7,472.25x = 8,793.56 × 8,793.56
  4. Step 4: Simplify right side
    7,472.25x = 77,326,741.44
  5. Step 5: Solve for x
    x = 77,326,741.44/7,472.25
  6. Step 6: Final answer
    x = 10,348.52

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.