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Finding the Third Proportional to 8,252 and 12,062

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Solution

The third proportional to 8,252 and 12,062 is: 17,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252 : 12,062 = 12,062 : x
  2. Step 2: Convert to fraction form
    8,252/12,062 = 12,062/x
  3. Step 3: Cross multiply
    8,252x = 12,062 × 12,062
  4. Step 4: Simplify right side
    8,252x = 145,491,844
  5. Step 5: Solve for x
    x = 145,491,844/8,252
  6. Step 6: Final answer
    x = 17,631.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.