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Finding the Third Proportional to 3,403.13 and 6,742.13

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Solution

The third proportional to 3,403.13 and 6,742.13 is: 13,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.13 : 6,742.13 = 6,742.13 : x
  2. Step 2: Convert to fraction form
    3,403.13/6,742.13 = 6,742.13/x
  3. Step 3: Cross multiply
    3,403.13x = 6,742.13 × 6,742.13
  4. Step 4: Simplify right side
    3,403.13x = 45,456,249.52
  5. Step 5: Solve for x
    x = 45,456,249.52/3,403.13
  6. Step 6: Final answer
    x = 13,357.21

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.