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Finding the Third Proportional to 13,742 and 22,126

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Solution

The third proportional to 13,742 and 22,126 is: 35,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742 : 22,126 = 22,126 : x
  2. Step 2: Convert to fraction form
    13,742/22,126 = 22,126/x
  3. Step 3: Cross multiply
    13,742x = 22,126 × 22,126
  4. Step 4: Simplify right side
    13,742x = 489,559,876
  5. Step 5: Solve for x
    x = 489,559,876/13,742
  6. Step 6: Final answer
    x = 35,625.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.