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Finding the Third Proportional to 22,408 and 33,894

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Solution

The third proportional to 22,408 and 33,894 is: 51,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408 : 33,894 = 33,894 : x
  2. Step 2: Convert to fraction form
    22,408/33,894 = 33,894/x
  3. Step 3: Cross multiply
    22,408x = 33,894 × 33,894
  4. Step 4: Simplify right side
    22,408x = 1,148,803,236
  5. Step 5: Solve for x
    x = 1,148,803,236/22,408
  6. Step 6: Final answer
    x = 51,267.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.