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Finding the Third Proportional to 8,855 and 12,032

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Solution

The third proportional to 8,855 and 12,032 is: 16,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855 : 12,032 = 12,032 : x
  2. Step 2: Convert to fraction form
    8,855/12,032 = 12,032/x
  3. Step 3: Cross multiply
    8,855x = 12,032 × 12,032
  4. Step 4: Simplify right side
    8,855x = 144,769,024
  5. Step 5: Solve for x
    x = 144,769,024/8,855
  6. Step 6: Final answer
    x = 16,348.85

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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.