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Finding the Third Proportional to 8,239 and 17,023

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Solution

The third proportional to 8,239 and 17,023 is: 35,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 17,023 = 17,023 : x
  2. Step 2: Convert to fraction form
    8,239/17,023 = 17,023/x
  3. Step 3: Cross multiply
    8,239x = 17,023 × 17,023
  4. Step 4: Simplify right side
    8,239x = 289,782,529
  5. Step 5: Solve for x
    x = 289,782,529/8,239
  6. Step 6: Final answer
    x = 35,172.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.