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Finding the Third Proportional to 8,598 and 17,429

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Solution

The third proportional to 8,598 and 17,429 is: 35,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598 : 17,429 = 17,429 : x
  2. Step 2: Convert to fraction form
    8,598/17,429 = 17,429/x
  3. Step 3: Cross multiply
    8,598x = 17,429 × 17,429
  4. Step 4: Simplify right side
    8,598x = 303,770,041
  5. Step 5: Solve for x
    x = 303,770,041/8,598
  6. Step 6: Final answer
    x = 35,330.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.