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Finding the Third Proportional to 3,881.67 and 8,468.30

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Solution

The third proportional to 3,881.67 and 8,468.30 is: 18,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.67 : 8,468.30 = 8,468.30 : x
  2. Step 2: Convert to fraction form
    3,881.67/8,468.30 = 8,468.30/x
  3. Step 3: Cross multiply
    3,881.67x = 8,468.30 × 8,468.30
  4. Step 4: Simplify right side
    3,881.67x = 71,712,051.96
  5. Step 5: Solve for x
    x = 71,712,051.96/3,881.67
  6. Step 6: Final answer
    x = 18,474.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.