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Finding the Third Proportional to 5,689.13 and 6,229.13

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Solution

The third proportional to 5,689.13 and 6,229.13 is: 6,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.13 : 6,229.13 = 6,229.13 : x
  2. Step 2: Convert to fraction form
    5,689.13/6,229.13 = 6,229.13/x
  3. Step 3: Cross multiply
    5,689.13x = 6,229.13 × 6,229.13
  4. Step 4: Simplify right side
    5,689.13x = 38,801,998.27
  5. Step 5: Solve for x
    x = 38,801,998.27/5,689.13
  6. Step 6: Final answer
    x = 6,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.