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Finding the Third Proportional to 33,436 and 44,566

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Solution

The third proportional to 33,436 and 44,566 is: 59,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,436 : 44,566 = 44,566 : x
  2. Step 2: Convert to fraction form
    33,436/44,566 = 44,566/x
  3. Step 3: Cross multiply
    33,436x = 44,566 × 44,566
  4. Step 4: Simplify right side
    33,436x = 1,986,128,356
  5. Step 5: Solve for x
    x = 1,986,128,356/33,436
  6. Step 6: Final answer
    x = 59,400.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.