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Finding the Third Proportional to 3,426.68 and 5,165.33

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Solution

The third proportional to 3,426.68 and 5,165.33 is: 7,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.68 : 5,165.33 = 5,165.33 : x
  2. Step 2: Convert to fraction form
    3,426.68/5,165.33 = 5,165.33/x
  3. Step 3: Cross multiply
    3,426.68x = 5,165.33 × 5,165.33
  4. Step 4: Simplify right side
    3,426.68x = 26,680,654.99
  5. Step 5: Solve for x
    x = 26,680,654.99/3,426.68
  6. Step 6: Final answer
    x = 7,786.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.