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Finding the Third Proportional to 21,875 and 33,074

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Solution

The third proportional to 21,875 and 33,074 is: 50,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875 : 33,074 = 33,074 : x
  2. Step 2: Convert to fraction form
    21,875/33,074 = 33,074/x
  3. Step 3: Cross multiply
    21,875x = 33,074 × 33,074
  4. Step 4: Simplify right side
    21,875x = 1,093,889,476
  5. Step 5: Solve for x
    x = 1,093,889,476/21,875
  6. Step 6: Final answer
    x = 50,006.38

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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.