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Finding the Third Proportional to 38,282 and 83,044

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Solution

The third proportional to 38,282 and 83,044 is: 180,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282 : 83,044 = 83,044 : x
  2. Step 2: Convert to fraction form
    38,282/83,044 = 83,044/x
  3. Step 3: Cross multiply
    38,282x = 83,044 × 83,044
  4. Step 4: Simplify right side
    38,282x = 6,896,305,936
  5. Step 5: Solve for x
    x = 6,896,305,936/38,282
  6. Step 6: Final answer
    x = 180,144.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.