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Finding the Third Proportional to 10,998 and 17,041

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Solution

The third proportional to 10,998 and 17,041 is: 26,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998 : 17,041 = 17,041 : x
  2. Step 2: Convert to fraction form
    10,998/17,041 = 17,041/x
  3. Step 3: Cross multiply
    10,998x = 17,041 × 17,041
  4. Step 4: Simplify right side
    10,998x = 290,395,681
  5. Step 5: Solve for x
    x = 290,395,681/10,998
  6. Step 6: Final answer
    x = 26,404.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.