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Finding the Third Proportional to 3,402.64 and 7,462.62

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Solution

The third proportional to 3,402.64 and 7,462.62 is: 16,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.64 : 7,462.62 = 7,462.62 : x
  2. Step 2: Convert to fraction form
    3,402.64/7,462.62 = 7,462.62/x
  3. Step 3: Cross multiply
    3,402.64x = 7,462.62 × 7,462.62
  4. Step 4: Simplify right side
    3,402.64x = 55,690,651.19
  5. Step 5: Solve for x
    x = 55,690,651.19/3,402.64
  6. Step 6: Final answer
    x = 16,366.91

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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.