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Finding the Third Proportional to 8,355.66 and 11,138.13

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Solution

The third proportional to 8,355.66 and 11,138.13 is: 14,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.66 : 11,138.13 = 11,138.13 : x
  2. Step 2: Convert to fraction form
    8,355.66/11,138.13 = 11,138.13/x
  3. Step 3: Cross multiply
    8,355.66x = 11,138.13 × 11,138.13
  4. Step 4: Simplify right side
    8,355.66x = 124,058,002.55
  5. Step 5: Solve for x
    x = 124,058,002.55/8,355.66
  6. Step 6: Final answer
    x = 14,847.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.