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Finding the Third Proportional to 27,022 and 36,378

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Solution

The third proportional to 27,022 and 36,378 is: 48,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022 : 36,378 = 36,378 : x
  2. Step 2: Convert to fraction form
    27,022/36,378 = 36,378/x
  3. Step 3: Cross multiply
    27,022x = 36,378 × 36,378
  4. Step 4: Simplify right side
    27,022x = 1,323,358,884
  5. Step 5: Solve for x
    x = 1,323,358,884/27,022
  6. Step 6: Final answer
    x = 48,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.