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Finding the Third Proportional to 31,068 and 41,394

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Solution

The third proportional to 31,068 and 41,394 is: 55,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068 : 41,394 = 41,394 : x
  2. Step 2: Convert to fraction form
    31,068/41,394 = 41,394/x
  3. Step 3: Cross multiply
    31,068x = 41,394 × 41,394
  4. Step 4: Simplify right side
    31,068x = 1,713,463,236
  5. Step 5: Solve for x
    x = 1,713,463,236/31,068
  6. Step 6: Final answer
    x = 55,152.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.