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Finding the Third Proportional to 40,223 and 52,894

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Solution

The third proportional to 40,223 and 52,894 is: 69,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,223 : 52,894 = 52,894 : x
  2. Step 2: Convert to fraction form
    40,223/52,894 = 52,894/x
  3. Step 3: Cross multiply
    40,223x = 52,894 × 52,894
  4. Step 4: Simplify right side
    40,223x = 2,797,775,236
  5. Step 5: Solve for x
    x = 2,797,775,236/40,223
  6. Step 6: Final answer
    x = 69,556.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.