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Finding the Third Proportional to 21,934 and 33,973

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Solution

The third proportional to 21,934 and 33,973 is: 52,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934 : 33,973 = 33,973 : x
  2. Step 2: Convert to fraction form
    21,934/33,973 = 33,973/x
  3. Step 3: Cross multiply
    21,934x = 33,973 × 33,973
  4. Step 4: Simplify right side
    21,934x = 1,154,164,729
  5. Step 5: Solve for x
    x = 1,154,164,729/21,934
  6. Step 6: Final answer
    x = 52,619.89

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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.