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Finding the Third Proportional to 7,983 and 17,197

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Solution

The third proportional to 7,983 and 17,197 is: 37,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 17,197 = 17,197 : x
  2. Step 2: Convert to fraction form
    7,983/17,197 = 17,197/x
  3. Step 3: Cross multiply
    7,983x = 17,197 × 17,197
  4. Step 4: Simplify right side
    7,983x = 295,736,809
  5. Step 5: Solve for x
    x = 295,736,809/7,983
  6. Step 6: Final answer
    x = 37,045.82

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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.