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Finding the Third Proportional to 3,476.11 and 7,499.11

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Solution

The third proportional to 3,476.11 and 7,499.11 is: 16,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.11 : 7,499.11 = 7,499.11 : x
  2. Step 2: Convert to fraction form
    3,476.11/7,499.11 = 7,499.11/x
  3. Step 3: Cross multiply
    3,476.11x = 7,499.11 × 7,499.11
  4. Step 4: Simplify right side
    3,476.11x = 56,236,641.42
  5. Step 5: Solve for x
    x = 56,236,641.42/3,476.11
  6. Step 6: Final answer
    x = 16,178.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.