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Finding the Third Proportional to 31,282 and 47,194

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Solution

The third proportional to 31,282 and 47,194 is: 71,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282 : 47,194 = 47,194 : x
  2. Step 2: Convert to fraction form
    31,282/47,194 = 47,194/x
  3. Step 3: Cross multiply
    31,282x = 47,194 × 47,194
  4. Step 4: Simplify right side
    31,282x = 2,227,273,636
  5. Step 5: Solve for x
    x = 2,227,273,636/31,282
  6. Step 6: Final answer
    x = 71,199.85

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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.