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Finding the Third Proportional to 20,966 and 31,646

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Solution

The third proportional to 20,966 and 31,646 is: 47,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966 : 31,646 = 31,646 : x
  2. Step 2: Convert to fraction form
    20,966/31,646 = 31,646/x
  3. Step 3: Cross multiply
    20,966x = 31,646 × 31,646
  4. Step 4: Simplify right side
    20,966x = 1,001,469,316
  5. Step 5: Solve for x
    x = 1,001,469,316/20,966
  6. Step 6: Final answer
    x = 47,766.35

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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.