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Finding the Third Proportional to 21,226 and 32,837

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Solution

The third proportional to 21,226 and 32,837 is: 50,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,226 : 32,837 = 32,837 : x
  2. Step 2: Convert to fraction form
    21,226/32,837 = 32,837/x
  3. Step 3: Cross multiply
    21,226x = 32,837 × 32,837
  4. Step 4: Simplify right side
    21,226x = 1,078,268,569
  5. Step 5: Solve for x
    x = 1,078,268,569/21,226
  6. Step 6: Final answer
    x = 50,799.42

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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.