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Finding the Third Proportional to 38,993 and 84,466

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Solution

The third proportional to 38,993 and 84,466 is: 182,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,993 : 84,466 = 84,466 : x
  2. Step 2: Convert to fraction form
    38,993/84,466 = 84,466/x
  3. Step 3: Cross multiply
    38,993x = 84,466 × 84,466
  4. Step 4: Simplify right side
    38,993x = 7,134,505,156
  5. Step 5: Solve for x
    x = 7,134,505,156/38,993
  6. Step 6: Final answer
    x = 182,968.87

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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.