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Finding the Third Proportional to 38,079 and 83,448

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Solution

The third proportional to 38,079 and 83,448 is: 182,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,079 : 83,448 = 83,448 : x
  2. Step 2: Convert to fraction form
    38,079/83,448 = 83,448/x
  3. Step 3: Cross multiply
    38,079x = 83,448 × 83,448
  4. Step 4: Simplify right side
    38,079x = 6,963,568,704
  5. Step 5: Solve for x
    x = 6,963,568,704/38,079
  6. Step 6: Final answer
    x = 182,871.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.