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Finding the Third Proportional to 18,130 and 38,404

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Solution

The third proportional to 18,130 and 38,404 is: 81,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130 : 38,404 = 38,404 : x
  2. Step 2: Convert to fraction form
    18,130/38,404 = 38,404/x
  3. Step 3: Cross multiply
    18,130x = 38,404 × 38,404
  4. Step 4: Simplify right side
    18,130x = 1,474,867,216
  5. Step 5: Solve for x
    x = 1,474,867,216/18,130
  6. Step 6: Final answer
    x = 81,349.54

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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.