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Finding the Third Proportional to 21,896 and 33,974

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Solution

The third proportional to 21,896 and 33,974 is: 52,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896 : 33,974 = 33,974 : x
  2. Step 2: Convert to fraction form
    21,896/33,974 = 33,974/x
  3. Step 3: Cross multiply
    21,896x = 33,974 × 33,974
  4. Step 4: Simplify right side
    21,896x = 1,154,232,676
  5. Step 5: Solve for x
    x = 1,154,232,676/21,896
  6. Step 6: Final answer
    x = 52,714.32

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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.