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Finding the Third Proportional to 3,883.92 and 8,311.92

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Solution

The third proportional to 3,883.92 and 8,311.92 is: 17,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.92 : 8,311.92 = 8,311.92 : x
  2. Step 2: Convert to fraction form
    3,883.92/8,311.92 = 8,311.92/x
  3. Step 3: Cross multiply
    3,883.92x = 8,311.92 × 8,311.92
  4. Step 4: Simplify right side
    3,883.92x = 69,088,045.26
  5. Step 5: Solve for x
    x = 69,088,045.26/3,883.92
  6. Step 6: Final answer
    x = 17,788.22

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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.