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Finding the Third Proportional to 20,544 and 30,966

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Solution

The third proportional to 20,544 and 30,966 is: 46,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 30,966 = 30,966 : x
  2. Step 2: Convert to fraction form
    20,544/30,966 = 30,966/x
  3. Step 3: Cross multiply
    20,544x = 30,966 × 30,966
  4. Step 4: Simplify right side
    20,544x = 958,893,156
  5. Step 5: Solve for x
    x = 958,893,156/20,544
  6. Step 6: Final answer
    x = 46,675.10

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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.