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Finding the Third Proportional to 18,014 and 38,520

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Solution

The third proportional to 18,014 and 38,520 is: 82,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014 : 38,520 = 38,520 : x
  2. Step 2: Convert to fraction form
    18,014/38,520 = 38,520/x
  3. Step 3: Cross multiply
    18,014x = 38,520 × 38,520
  4. Step 4: Simplify right side
    18,014x = 1,483,790,400
  5. Step 5: Solve for x
    x = 1,483,790,400/18,014
  6. Step 6: Final answer
    x = 82,368.74

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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.