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Finding the Third Proportional to 3,871.13 and 7,434.56

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Solution

The third proportional to 3,871.13 and 7,434.56 is: 14,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.13 : 7,434.56 = 7,434.56 : x
  2. Step 2: Convert to fraction form
    3,871.13/7,434.56 = 7,434.56/x
  3. Step 3: Cross multiply
    3,871.13x = 7,434.56 × 7,434.56
  4. Step 4: Simplify right side
    3,871.13x = 55,272,719.57
  5. Step 5: Solve for x
    x = 55,272,719.57/3,871.13
  6. Step 6: Final answer
    x = 14,278.21

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.