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Finding the Third Proportional to 33,414 and 44,167.25

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Solution

The third proportional to 33,414 and 44,167.25 is: 58,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414 : 44,167.25 = 44,167.25 : x
  2. Step 2: Convert to fraction form
    33,414/44,167.25 = 44,167.25/x
  3. Step 3: Cross multiply
    33,414x = 44,167.25 × 44,167.25
  4. Step 4: Simplify right side
    33,414x = 1,950,745,972.56
  5. Step 5: Solve for x
    x = 1,950,745,972.56/33,414
  6. Step 6: Final answer
    x = 58,381.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.