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Finding the Third Proportional to 8,832 and 14,142

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Solution

The third proportional to 8,832 and 14,142 is: 22,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832 : 14,142 = 14,142 : x
  2. Step 2: Convert to fraction form
    8,832/14,142 = 14,142/x
  3. Step 3: Cross multiply
    8,832x = 14,142 × 14,142
  4. Step 4: Simplify right side
    8,832x = 199,996,164
  5. Step 5: Solve for x
    x = 199,996,164/8,832
  6. Step 6: Final answer
    x = 22,644.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.