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Finding the Third Proportional to 18,230 and 38,726

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Solution

The third proportional to 18,230 and 38,726 is: 82,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230 : 38,726 = 38,726 : x
  2. Step 2: Convert to fraction form
    18,230/38,726 = 38,726/x
  3. Step 3: Cross multiply
    18,230x = 38,726 × 38,726
  4. Step 4: Simplify right side
    18,230x = 1,499,703,076
  5. Step 5: Solve for x
    x = 1,499,703,076/18,230
  6. Step 6: Final answer
    x = 82,265.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.