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Finding the Third Proportional to 44,982 and 67,229

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Solution

The third proportional to 44,982 and 67,229 is: 100,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,982 : 67,229 = 67,229 : x
  2. Step 2: Convert to fraction form
    44,982/67,229 = 67,229/x
  3. Step 3: Cross multiply
    44,982x = 67,229 × 67,229
  4. Step 4: Simplify right side
    44,982x = 4,519,738,441
  5. Step 5: Solve for x
    x = 4,519,738,441/44,982
  6. Step 6: Final answer
    x = 100,478.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.