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Finding the Third Proportional to 21,838 and 32,867

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Solution

The third proportional to 21,838 and 32,867 is: 49,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838 : 32,867 = 32,867 : x
  2. Step 2: Convert to fraction form
    21,838/32,867 = 32,867/x
  3. Step 3: Cross multiply
    21,838x = 32,867 × 32,867
  4. Step 4: Simplify right side
    21,838x = 1,080,239,689
  5. Step 5: Solve for x
    x = 1,080,239,689/21,838
  6. Step 6: Final answer
    x = 49,466.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.