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Finding the Third Proportional to 3,403.13 and 5,347.97

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Solution

The third proportional to 3,403.13 and 5,347.97 is: 8,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.13 : 5,347.97 = 5,347.97 : x
  2. Step 2: Convert to fraction form
    3,403.13/5,347.97 = 5,347.97/x
  3. Step 3: Cross multiply
    3,403.13x = 5,347.97 × 5,347.97
  4. Step 4: Simplify right side
    3,403.13x = 28,600,769.75
  5. Step 5: Solve for x
    x = 28,600,769.75/3,403.13
  6. Step 6: Final answer
    x = 8,404.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.