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Finding the Third Proportional to 7,234.69 and 15,357.56

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Solution

The third proportional to 7,234.69 and 15,357.56 is: 32,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.69 : 15,357.56 = 15,357.56 : x
  2. Step 2: Convert to fraction form
    7,234.69/15,357.56 = 15,357.56/x
  3. Step 3: Cross multiply
    7,234.69x = 15,357.56 × 15,357.56
  4. Step 4: Simplify right side
    7,234.69x = 235,854,725.94
  5. Step 5: Solve for x
    x = 235,854,725.94/7,234.69
  6. Step 6: Final answer
    x = 32,600.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.