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Finding the Third Proportional to 12,682 and 18,562

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Solution

The third proportional to 12,682 and 18,562 is: 27,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682 : 18,562 = 18,562 : x
  2. Step 2: Convert to fraction form
    12,682/18,562 = 18,562/x
  3. Step 3: Cross multiply
    12,682x = 18,562 × 18,562
  4. Step 4: Simplify right side
    12,682x = 344,547,844
  5. Step 5: Solve for x
    x = 344,547,844/12,682
  6. Step 6: Final answer
    x = 27,168.26

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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.