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Finding the Third Proportional to 18,289 and 38,015

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Solution

The third proportional to 18,289 and 38,015 is: 79,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289 : 38,015 = 38,015 : x
  2. Step 2: Convert to fraction form
    18,289/38,015 = 38,015/x
  3. Step 3: Cross multiply
    18,289x = 38,015 × 38,015
  4. Step 4: Simplify right side
    18,289x = 1,445,140,225
  5. Step 5: Solve for x
    x = 1,445,140,225/18,289
  6. Step 6: Final answer
    x = 79,016.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.