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Finding the Third Proportional to 18,051 and 38,769

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Solution

The third proportional to 18,051 and 38,769 is: 83,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,051 : 38,769 = 38,769 : x
  2. Step 2: Convert to fraction form
    18,051/38,769 = 38,769/x
  3. Step 3: Cross multiply
    18,051x = 38,769 × 38,769
  4. Step 4: Simplify right side
    18,051x = 1,503,035,361
  5. Step 5: Solve for x
    x = 1,503,035,361/18,051
  6. Step 6: Final answer
    x = 83,266.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.