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Finding the Third Proportional to 21,889 and 33,957

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Solution

The third proportional to 21,889 and 33,957 is: 52,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889 : 33,957 = 33,957 : x
  2. Step 2: Convert to fraction form
    21,889/33,957 = 33,957/x
  3. Step 3: Cross multiply
    21,889x = 33,957 × 33,957
  4. Step 4: Simplify right side
    21,889x = 1,153,077,849
  5. Step 5: Solve for x
    x = 1,153,077,849/21,889
  6. Step 6: Final answer
    x = 52,678.42

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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.