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Finding the Third Proportional to 20,035 and 29,019

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Solution

The third proportional to 20,035 and 29,019 is: 42,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035 : 29,019 = 29,019 : x
  2. Step 2: Convert to fraction form
    20,035/29,019 = 29,019/x
  3. Step 3: Cross multiply
    20,035x = 29,019 × 29,019
  4. Step 4: Simplify right side
    20,035x = 842,102,361
  5. Step 5: Solve for x
    x = 842,102,361/20,035
  6. Step 6: Final answer
    x = 42,031.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.