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Finding the Third Proportional to 27,224 and 31,544

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Solution

The third proportional to 27,224 and 31,544 is: 36,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224 : 31,544 = 31,544 : x
  2. Step 2: Convert to fraction form
    27,224/31,544 = 31,544/x
  3. Step 3: Cross multiply
    27,224x = 31,544 × 31,544
  4. Step 4: Simplify right side
    27,224x = 995,023,936
  5. Step 5: Solve for x
    x = 995,023,936/27,224
  6. Step 6: Final answer
    x = 36,549.51

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.