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Finding the Third Proportional to 5,609.38 and 8,684.13

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Solution

The third proportional to 5,609.38 and 8,684.13 is: 13,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.38 : 8,684.13 = 8,684.13 : x
  2. Step 2: Convert to fraction form
    5,609.38/8,684.13 = 8,684.13/x
  3. Step 3: Cross multiply
    5,609.38x = 8,684.13 × 8,684.13
  4. Step 4: Simplify right side
    5,609.38x = 75,414,027.02
  5. Step 5: Solve for x
    x = 75,414,027.02/5,609.38
  6. Step 6: Final answer
    x = 13,444.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.