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Finding the Third Proportional to 8,078 and 17,020

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Solution

The third proportional to 8,078 and 17,020 is: 35,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078 : 17,020 = 17,020 : x
  2. Step 2: Convert to fraction form
    8,078/17,020 = 17,020/x
  3. Step 3: Cross multiply
    8,078x = 17,020 × 17,020
  4. Step 4: Simplify right side
    8,078x = 289,680,400
  5. Step 5: Solve for x
    x = 289,680,400/8,078
  6. Step 6: Final answer
    x = 35,860.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.