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Finding the Third Proportional to 9,682 and 18,533

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Solution

The third proportional to 9,682 and 18,533 is: 35,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 18,533 = 18,533 : x
  2. Step 2: Convert to fraction form
    9,682/18,533 = 18,533/x
  3. Step 3: Cross multiply
    9,682x = 18,533 × 18,533
  4. Step 4: Simplify right side
    9,682x = 343,472,089
  5. Step 5: Solve for x
    x = 343,472,089/9,682
  6. Step 6: Final answer
    x = 35,475.32

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.