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Finding the Third Proportional to 5,590.27 and 7,257.09

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Solution

The third proportional to 5,590.27 and 7,257.09 is: 9,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.27 : 7,257.09 = 7,257.09 : x
  2. Step 2: Convert to fraction form
    5,590.27/7,257.09 = 7,257.09/x
  3. Step 3: Cross multiply
    5,590.27x = 7,257.09 × 7,257.09
  4. Step 4: Simplify right side
    5,590.27x = 52,665,409.70
  5. Step 5: Solve for x
    x = 52,665,409.70/5,590.27
  6. Step 6: Final answer
    x = 9,420.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.