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Finding the Third Proportional to 38,348 and 83,442

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Solution

The third proportional to 38,348 and 83,442 is: 181,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 83,442 = 83,442 : x
  2. Step 2: Convert to fraction form
    38,348/83,442 = 83,442/x
  3. Step 3: Cross multiply
    38,348x = 83,442 × 83,442
  4. Step 4: Simplify right side
    38,348x = 6,962,567,364
  5. Step 5: Solve for x
    x = 6,962,567,364/38,348
  6. Step 6: Final answer
    x = 181,562.72

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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.