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Finding the Third Proportional to 2,864.43 and 4,266.11

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Solution

The third proportional to 2,864.43 and 4,266.11 is: 6,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.43 : 4,266.11 = 4,266.11 : x
  2. Step 2: Convert to fraction form
    2,864.43/4,266.11 = 4,266.11/x
  3. Step 3: Cross multiply
    2,864.43x = 4,266.11 × 4,266.11
  4. Step 4: Simplify right side
    2,864.43x = 18,199,655.87
  5. Step 5: Solve for x
    x = 18,199,655.87/2,864.43
  6. Step 6: Final answer
    x = 6,353.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.