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Finding the Third Proportional to 38,363 and 83,382

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Solution

The third proportional to 38,363 and 83,382 is: 181,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,363 : 83,382 = 83,382 : x
  2. Step 2: Convert to fraction form
    38,363/83,382 = 83,382/x
  3. Step 3: Cross multiply
    38,363x = 83,382 × 83,382
  4. Step 4: Simplify right side
    38,363x = 6,952,557,924
  5. Step 5: Solve for x
    x = 6,952,557,924/38,363
  6. Step 6: Final answer
    x = 181,230.82

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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.