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Finding the Third Proportional to 40,270 and 60,850

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Solution

The third proportional to 40,270 and 60,850 is: 91,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,270 : 60,850 = 60,850 : x
  2. Step 2: Convert to fraction form
    40,270/60,850 = 60,850/x
  3. Step 3: Cross multiply
    40,270x = 60,850 × 60,850
  4. Step 4: Simplify right side
    40,270x = 3,702,722,500
  5. Step 5: Solve for x
    x = 3,702,722,500/40,270
  6. Step 6: Final answer
    x = 91,947.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.