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Finding the Third Proportional to 16,983 and 36,557

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Solution

The third proportional to 16,983 and 36,557 is: 78,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983 : 36,557 = 36,557 : x
  2. Step 2: Convert to fraction form
    16,983/36,557 = 36,557/x
  3. Step 3: Cross multiply
    16,983x = 36,557 × 36,557
  4. Step 4: Simplify right side
    16,983x = 1,336,414,249
  5. Step 5: Solve for x
    x = 1,336,414,249/16,983
  6. Step 6: Final answer
    x = 78,691.29

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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.