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Finding the Third Proportional to 16,724 and 36,559

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Solution

The third proportional to 16,724 and 36,559 is: 79,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724 : 36,559 = 36,559 : x
  2. Step 2: Convert to fraction form
    16,724/36,559 = 36,559/x
  3. Step 3: Cross multiply
    16,724x = 36,559 × 36,559
  4. Step 4: Simplify right side
    16,724x = 1,336,560,481
  5. Step 5: Solve for x
    x = 1,336,560,481/16,724
  6. Step 6: Final answer
    x = 79,918.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.