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Finding the Third Proportional to 38,314 and 83,524

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Solution

The third proportional to 38,314 and 83,524 is: 182,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314 : 83,524 = 83,524 : x
  2. Step 2: Convert to fraction form
    38,314/83,524 = 83,524/x
  3. Step 3: Cross multiply
    38,314x = 83,524 × 83,524
  4. Step 4: Simplify right side
    38,314x = 6,976,258,576
  5. Step 5: Solve for x
    x = 6,976,258,576/38,314
  6. Step 6: Final answer
    x = 182,081.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.