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Finding the Third Proportional to 27,233 and 43,361

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Solution

The third proportional to 27,233 and 43,361 is: 69,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233 : 43,361 = 43,361 : x
  2. Step 2: Convert to fraction form
    27,233/43,361 = 43,361/x
  3. Step 3: Cross multiply
    27,233x = 43,361 × 43,361
  4. Step 4: Simplify right side
    27,233x = 1,880,176,321
  5. Step 5: Solve for x
    x = 1,880,176,321/27,233
  6. Step 6: Final answer
    x = 69,040.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.