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Finding the Third Proportional to 38,441 and 83,442

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Solution

The third proportional to 38,441 and 83,442 is: 181,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441 : 83,442 = 83,442 : x
  2. Step 2: Convert to fraction form
    38,441/83,442 = 83,442/x
  3. Step 3: Cross multiply
    38,441x = 83,442 × 83,442
  4. Step 4: Simplify right side
    38,441x = 6,962,567,364
  5. Step 5: Solve for x
    x = 6,962,567,364/38,441
  6. Step 6: Final answer
    x = 181,123.47

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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.