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Finding the Third Proportional to 3,957.13 and 8,443.88

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Solution

The third proportional to 3,957.13 and 8,443.88 is: 18,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.13 : 8,443.88 = 8,443.88 : x
  2. Step 2: Convert to fraction form
    3,957.13/8,443.88 = 8,443.88/x
  3. Step 3: Cross multiply
    3,957.13x = 8,443.88 × 8,443.88
  4. Step 4: Simplify right side
    3,957.13x = 71,299,025.02
  5. Step 5: Solve for x
    x = 71,299,025.02/3,957.13
  6. Step 6: Final answer
    x = 18,017.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.