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Finding the Third Proportional to 21,909 and 33,066

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Solution

The third proportional to 21,909 and 33,066 is: 49,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909 : 33,066 = 33,066 : x
  2. Step 2: Convert to fraction form
    21,909/33,066 = 33,066/x
  3. Step 3: Cross multiply
    21,909x = 33,066 × 33,066
  4. Step 4: Simplify right side
    21,909x = 1,093,360,356
  5. Step 5: Solve for x
    x = 1,093,360,356/21,909
  6. Step 6: Final answer
    x = 49,904.62

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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.