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Finding the Third Proportional to 9,603 and 18,531

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Solution

The third proportional to 9,603 and 18,531 is: 35,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 18,531 = 18,531 : x
  2. Step 2: Convert to fraction form
    9,603/18,531 = 18,531/x
  3. Step 3: Cross multiply
    9,603x = 18,531 × 18,531
  4. Step 4: Simplify right side
    9,603x = 343,397,961
  5. Step 5: Solve for x
    x = 343,397,961/9,603
  6. Step 6: Final answer
    x = 35,759.45

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.