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Finding the Third Proportional to 16,471 and 36,223

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Solution

The third proportional to 16,471 and 36,223 is: 79,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471 : 36,223 = 36,223 : x
  2. Step 2: Convert to fraction form
    16,471/36,223 = 36,223/x
  3. Step 3: Cross multiply
    16,471x = 36,223 × 36,223
  4. Step 4: Simplify right side
    16,471x = 1,312,105,729
  5. Step 5: Solve for x
    x = 1,312,105,729/16,471
  6. Step 6: Final answer
    x = 79,661.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.