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Finding the Third Proportional to 16,549 and 36,073

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Solution

The third proportional to 16,549 and 36,073 is: 78,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 36,073 = 36,073 : x
  2. Step 2: Convert to fraction form
    16,549/36,073 = 36,073/x
  3. Step 3: Cross multiply
    16,549x = 36,073 × 36,073
  4. Step 4: Simplify right side
    16,549x = 1,301,261,329
  5. Step 5: Solve for x
    x = 1,301,261,329/16,549
  6. Step 6: Final answer
    x = 78,630.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.