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Finding the Third Proportional to 8,078 and 17,692

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Solution

The third proportional to 8,078 and 17,692 is: 38,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078 : 17,692 = 17,692 : x
  2. Step 2: Convert to fraction form
    8,078/17,692 = 17,692/x
  3. Step 3: Cross multiply
    8,078x = 17,692 × 17,692
  4. Step 4: Simplify right side
    8,078x = 313,006,864
  5. Step 5: Solve for x
    x = 313,006,864/8,078
  6. Step 6: Final answer
    x = 38,748.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.