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Finding the Third Proportional to 18,046 and 38,464

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Solution

The third proportional to 18,046 and 38,464 is: 81,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046 : 38,464 = 38,464 : x
  2. Step 2: Convert to fraction form
    18,046/38,464 = 38,464/x
  3. Step 3: Cross multiply
    18,046x = 38,464 × 38,464
  4. Step 4: Simplify right side
    18,046x = 1,479,479,296
  5. Step 5: Solve for x
    x = 1,479,479,296/18,046
  6. Step 6: Final answer
    x = 81,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.