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Finding the Third Proportional to 20,471 and 30,035

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Solution

The third proportional to 20,471 and 30,035 is: 44,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471 : 30,035 = 30,035 : x
  2. Step 2: Convert to fraction form
    20,471/30,035 = 30,035/x
  3. Step 3: Cross multiply
    20,471x = 30,035 × 30,035
  4. Step 4: Simplify right side
    20,471x = 902,101,225
  5. Step 5: Solve for x
    x = 902,101,225/20,471
  6. Step 6: Final answer
    x = 44,067.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.