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Finding the Third Proportional to 1,976 and 5,192

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Solution

The third proportional to 1,976 and 5,192 is: 13,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976 : 5,192 = 5,192 : x
  2. Step 2: Convert to fraction form
    1,976/5,192 = 5,192/x
  3. Step 3: Cross multiply
    1,976x = 5,192 × 5,192
  4. Step 4: Simplify right side
    1,976x = 26,956,864
  5. Step 5: Solve for x
    x = 26,956,864/1,976
  6. Step 6: Final answer
    x = 13,642.14

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.