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Finding the Third Proportional to 27,824 and 43,148

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Solution

The third proportional to 27,824 and 43,148 is: 66,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 43,148 = 43,148 : x
  2. Step 2: Convert to fraction form
    27,824/43,148 = 43,148/x
  3. Step 3: Cross multiply
    27,824x = 43,148 × 43,148
  4. Step 4: Simplify right side
    27,824x = 1,861,749,904
  5. Step 5: Solve for x
    x = 1,861,749,904/27,824
  6. Step 6: Final answer
    x = 66,911.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.