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Finding the Third Proportional to 22,996 and 36,894

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Solution

The third proportional to 22,996 and 36,894 is: 59,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 36,894 = 36,894 : x
  2. Step 2: Convert to fraction form
    22,996/36,894 = 36,894/x
  3. Step 3: Cross multiply
    22,996x = 36,894 × 36,894
  4. Step 4: Simplify right side
    22,996x = 1,361,167,236
  5. Step 5: Solve for x
    x = 1,361,167,236/22,996
  6. Step 6: Final answer
    x = 59,191.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.