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Finding the Third Proportional to 22,974 and 36,861

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Solution

The third proportional to 22,974 and 36,861 is: 59,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974 : 36,861 = 36,861 : x
  2. Step 2: Convert to fraction form
    22,974/36,861 = 36,861/x
  3. Step 3: Cross multiply
    22,974x = 36,861 × 36,861
  4. Step 4: Simplify right side
    22,974x = 1,358,733,321
  5. Step 5: Solve for x
    x = 1,358,733,321/22,974
  6. Step 6: Final answer
    x = 59,142.22

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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.