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Finding the Third Proportional to 16,868 and 36,518

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Solution

The third proportional to 16,868 and 36,518 is: 79,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,868 : 36,518 = 36,518 : x
  2. Step 2: Convert to fraction form
    16,868/36,518 = 36,518/x
  3. Step 3: Cross multiply
    16,868x = 36,518 × 36,518
  4. Step 4: Simplify right side
    16,868x = 1,333,564,324
  5. Step 5: Solve for x
    x = 1,333,564,324/16,868
  6. Step 6: Final answer
    x = 79,058.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.