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Finding the Third Proportional to 20,216 and 31,031

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Solution

The third proportional to 20,216 and 31,031 is: 47,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 31,031 = 31,031 : x
  2. Step 2: Convert to fraction form
    20,216/31,031 = 31,031/x
  3. Step 3: Cross multiply
    20,216x = 31,031 × 31,031
  4. Step 4: Simplify right side
    20,216x = 962,922,961
  5. Step 5: Solve for x
    x = 962,922,961/20,216
  6. Step 6: Final answer
    x = 47,631.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.