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Finding the Third Proportional to 15,001 and 21,934

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Solution

The third proportional to 15,001 and 21,934 is: 32,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,001 : 21,934 = 21,934 : x
  2. Step 2: Convert to fraction form
    15,001/21,934 = 21,934/x
  3. Step 3: Cross multiply
    15,001x = 21,934 × 21,934
  4. Step 4: Simplify right side
    15,001x = 481,100,356
  5. Step 5: Solve for x
    x = 481,100,356/15,001
  6. Step 6: Final answer
    x = 32,071.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.