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Finding the Third Proportional to 3,426.05 and 7,486.17

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Solution

The third proportional to 3,426.05 and 7,486.17 is: 16,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.05 : 7,486.17 = 7,486.17 : x
  2. Step 2: Convert to fraction form
    3,426.05/7,486.17 = 7,486.17/x
  3. Step 3: Cross multiply
    3,426.05x = 7,486.17 × 7,486.17
  4. Step 4: Simplify right side
    3,426.05x = 56,042,769.34
  5. Step 5: Solve for x
    x = 56,042,769.34/3,426.05
  6. Step 6: Final answer
    x = 16,357.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.