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Finding the Third Proportional to 18,400 and 28,140

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Solution

The third proportional to 18,400 and 28,140 is: 43,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 28,140 = 28,140 : x
  2. Step 2: Convert to fraction form
    18,400/28,140 = 28,140/x
  3. Step 3: Cross multiply
    18,400x = 28,140 × 28,140
  4. Step 4: Simplify right side
    18,400x = 791,859,600
  5. Step 5: Solve for x
    x = 791,859,600/18,400
  6. Step 6: Final answer
    x = 43,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.