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Finding the Third Proportional to 33,270 and 44,289

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Solution

The third proportional to 33,270 and 44,289 is: 58,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,270 : 44,289 = 44,289 : x
  2. Step 2: Convert to fraction form
    33,270/44,289 = 44,289/x
  3. Step 3: Cross multiply
    33,270x = 44,289 × 44,289
  4. Step 4: Simplify right side
    33,270x = 1,961,515,521
  5. Step 5: Solve for x
    x = 1,961,515,521/33,270
  6. Step 6: Final answer
    x = 58,957.48

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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.