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Finding the Third Proportional to 33,524 and 44,502

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Solution

The third proportional to 33,524 and 44,502 is: 59,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524 : 44,502 = 44,502 : x
  2. Step 2: Convert to fraction form
    33,524/44,502 = 44,502/x
  3. Step 3: Cross multiply
    33,524x = 44,502 × 44,502
  4. Step 4: Simplify right side
    33,524x = 1,980,428,004
  5. Step 5: Solve for x
    x = 1,980,428,004/33,524
  6. Step 6: Final answer
    x = 59,074.93

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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.