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Finding the Third Proportional to 21,682 and 32,378

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Solution

The third proportional to 21,682 and 32,378 is: 48,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682 : 32,378 = 32,378 : x
  2. Step 2: Convert to fraction form
    21,682/32,378 = 32,378/x
  3. Step 3: Cross multiply
    21,682x = 32,378 × 32,378
  4. Step 4: Simplify right side
    21,682x = 1,048,334,884
  5. Step 5: Solve for x
    x = 1,048,334,884/21,682
  6. Step 6: Final answer
    x = 48,350.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.