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Finding the Third Proportional to 12,742 and 18,722

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Solution

The third proportional to 12,742 and 18,722 is: 27,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742 : 18,722 = 18,722 : x
  2. Step 2: Convert to fraction form
    12,742/18,722 = 18,722/x
  3. Step 3: Cross multiply
    12,742x = 18,722 × 18,722
  4. Step 4: Simplify right side
    12,742x = 350,513,284
  5. Step 5: Solve for x
    x = 350,513,284/12,742
  6. Step 6: Final answer
    x = 27,508.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.