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Finding the Third Proportional to 16,549 and 36,259

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Solution

The third proportional to 16,549 and 36,259 is: 79,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 36,259 = 36,259 : x
  2. Step 2: Convert to fraction form
    16,549/36,259 = 36,259/x
  3. Step 3: Cross multiply
    16,549x = 36,259 × 36,259
  4. Step 4: Simplify right side
    16,549x = 1,314,715,081
  5. Step 5: Solve for x
    x = 1,314,715,081/16,549
  6. Step 6: Final answer
    x = 79,443.78

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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.