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Finding the Third Proportional to 16,986 and 36,297

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Solution

The third proportional to 16,986 and 36,297 is: 77,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986 : 36,297 = 36,297 : x
  2. Step 2: Convert to fraction form
    16,986/36,297 = 36,297/x
  3. Step 3: Cross multiply
    16,986x = 36,297 × 36,297
  4. Step 4: Simplify right side
    16,986x = 1,317,472,209
  5. Step 5: Solve for x
    x = 1,317,472,209/16,986
  6. Step 6: Final answer
    x = 77,562.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.