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Finding the Third Proportional to 16,813 and 36,583

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Solution

The third proportional to 16,813 and 36,583 is: 79,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813 : 36,583 = 36,583 : x
  2. Step 2: Convert to fraction form
    16,813/36,583 = 36,583/x
  3. Step 3: Cross multiply
    16,813x = 36,583 × 36,583
  4. Step 4: Simplify right side
    16,813x = 1,338,315,889
  5. Step 5: Solve for x
    x = 1,338,315,889/16,813
  6. Step 6: Final answer
    x = 79,600.06

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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.