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Finding the Third Proportional to 8,908 and 12,077

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Solution

The third proportional to 8,908 and 12,077 is: 16,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908 : 12,077 = 12,077 : x
  2. Step 2: Convert to fraction form
    8,908/12,077 = 12,077/x
  3. Step 3: Cross multiply
    8,908x = 12,077 × 12,077
  4. Step 4: Simplify right side
    8,908x = 145,853,929
  5. Step 5: Solve for x
    x = 145,853,929/8,908
  6. Step 6: Final answer
    x = 16,373.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.