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Finding the Third Proportional to 5,482.69 and 7,234.31

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Solution

The third proportional to 5,482.69 and 7,234.31 is: 9,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.69 : 7,234.31 = 7,234.31 : x
  2. Step 2: Convert to fraction form
    5,482.69/7,234.31 = 7,234.31/x
  3. Step 3: Cross multiply
    5,482.69x = 7,234.31 × 7,234.31
  4. Step 4: Simplify right side
    5,482.69x = 52,335,277.35
  5. Step 5: Solve for x
    x = 52,335,277.35/5,482.69
  6. Step 6: Final answer
    x = 9,545.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.