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Finding the Third Proportional to 31,850 and 69,340

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Solution

The third proportional to 31,850 and 69,340 is: 150,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850 : 69,340 = 69,340 : x
  2. Step 2: Convert to fraction form
    31,850/69,340 = 69,340/x
  3. Step 3: Cross multiply
    31,850x = 69,340 × 69,340
  4. Step 4: Simplify right side
    31,850x = 4,808,035,600
  5. Step 5: Solve for x
    x = 4,808,035,600/31,850
  6. Step 6: Final answer
    x = 150,958.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.