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Finding the Third Proportional to 7,883 and 17,099

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Solution

The third proportional to 7,883 and 17,099 is: 37,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883 : 17,099 = 17,099 : x
  2. Step 2: Convert to fraction form
    7,883/17,099 = 17,099/x
  3. Step 3: Cross multiply
    7,883x = 17,099 × 17,099
  4. Step 4: Simplify right side
    7,883x = 292,375,801
  5. Step 5: Solve for x
    x = 292,375,801/7,883
  6. Step 6: Final answer
    x = 37,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.