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Finding the Third Proportional to 7,796 and 17,885

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Solution

The third proportional to 7,796 and 17,885 is: 41,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796 : 17,885 = 17,885 : x
  2. Step 2: Convert to fraction form
    7,796/17,885 = 17,885/x
  3. Step 3: Cross multiply
    7,796x = 17,885 × 17,885
  4. Step 4: Simplify right side
    7,796x = 319,873,225
  5. Step 5: Solve for x
    x = 319,873,225/7,796
  6. Step 6: Final answer
    x = 41,030.43

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.