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Finding the Third Proportional to 33,450 and 44,587

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Solution

The third proportional to 33,450 and 44,587 is: 59,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450 : 44,587 = 44,587 : x
  2. Step 2: Convert to fraction form
    33,450/44,587 = 44,587/x
  3. Step 3: Cross multiply
    33,450x = 44,587 × 44,587
  4. Step 4: Simplify right side
    33,450x = 1,988,000,569
  5. Step 5: Solve for x
    x = 1,988,000,569/33,450
  6. Step 6: Final answer
    x = 59,432.01

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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.