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Finding the Third Proportional to 3,862.37 and 8,271.49

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Solution

The third proportional to 3,862.37 and 8,271.49 is: 17,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.37 : 8,271.49 = 8,271.49 : x
  2. Step 2: Convert to fraction form
    3,862.37/8,271.49 = 8,271.49/x
  3. Step 3: Cross multiply
    3,862.37x = 8,271.49 × 8,271.49
  4. Step 4: Simplify right side
    3,862.37x = 68,417,583.01
  5. Step 5: Solve for x
    x = 68,417,583.01/3,862.37
  6. Step 6: Final answer
    x = 17,713.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.