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Finding the Third Proportional to 20,947 and 27,532

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Solution

The third proportional to 20,947 and 27,532 is: 36,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,947 : 27,532 = 27,532 : x
  2. Step 2: Convert to fraction form
    20,947/27,532 = 27,532/x
  3. Step 3: Cross multiply
    20,947x = 27,532 × 27,532
  4. Step 4: Simplify right side
    20,947x = 758,011,024
  5. Step 5: Solve for x
    x = 758,011,024/20,947
  6. Step 6: Final answer
    x = 36,187.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.