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Finding the Third Proportional to 38,451 and 83,466

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Solution

The third proportional to 38,451 and 83,466 is: 181,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451 : 83,466 = 83,466 : x
  2. Step 2: Convert to fraction form
    38,451/83,466 = 83,466/x
  3. Step 3: Cross multiply
    38,451x = 83,466 × 83,466
  4. Step 4: Simplify right side
    38,451x = 6,966,573,156
  5. Step 5: Solve for x
    x = 6,966,573,156/38,451
  6. Step 6: Final answer
    x = 181,180.55

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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.