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Finding the Third Proportional to 16,986 and 36,562

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Solution

The third proportional to 16,986 and 36,562 is: 78,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986 : 36,562 = 36,562 : x
  2. Step 2: Convert to fraction form
    16,986/36,562 = 36,562/x
  3. Step 3: Cross multiply
    16,986x = 36,562 × 36,562
  4. Step 4: Simplify right side
    16,986x = 1,336,779,844
  5. Step 5: Solve for x
    x = 1,336,779,844/16,986
  6. Step 6: Final answer
    x = 78,698.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.