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Finding the Third Proportional to 14,322 and 22,131

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Solution

The third proportional to 14,322 and 22,131 is: 34,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322 : 22,131 = 22,131 : x
  2. Step 2: Convert to fraction form
    14,322/22,131 = 22,131/x
  3. Step 3: Cross multiply
    14,322x = 22,131 × 22,131
  4. Step 4: Simplify right side
    14,322x = 489,781,161
  5. Step 5: Solve for x
    x = 489,781,161/14,322
  6. Step 6: Final answer
    x = 34,197.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.