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Finding the Third Proportional to 18,146 and 38,884

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Solution

The third proportional to 18,146 and 38,884 is: 83,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146 : 38,884 = 38,884 : x
  2. Step 2: Convert to fraction form
    18,146/38,884 = 38,884/x
  3. Step 3: Cross multiply
    18,146x = 38,884 × 38,884
  4. Step 4: Simplify right side
    18,146x = 1,511,965,456
  5. Step 5: Solve for x
    x = 1,511,965,456/18,146
  6. Step 6: Final answer
    x = 83,322.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.