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Finding the Third Proportional to 38,104 and 51,400

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Solution

The third proportional to 38,104 and 51,400 is: 69,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104 : 51,400 = 51,400 : x
  2. Step 2: Convert to fraction form
    38,104/51,400 = 51,400/x
  3. Step 3: Cross multiply
    38,104x = 51,400 × 51,400
  4. Step 4: Simplify right side
    38,104x = 2,641,960,000
  5. Step 5: Solve for x
    x = 2,641,960,000/38,104
  6. Step 6: Final answer
    x = 69,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.