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Finding the Third Proportional to 14,408 and 22,124

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Solution

The third proportional to 14,408 and 22,124 is: 33,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408 : 22,124 = 22,124 : x
  2. Step 2: Convert to fraction form
    14,408/22,124 = 22,124/x
  3. Step 3: Cross multiply
    14,408x = 22,124 × 22,124
  4. Step 4: Simplify right side
    14,408x = 489,471,376
  5. Step 5: Solve for x
    x = 489,471,376/14,408
  6. Step 6: Final answer
    x = 33,972.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.