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Finding the Third Proportional to 27,569 and 33,617

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Solution

The third proportional to 27,569 and 33,617 is: 40,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 33,617 = 33,617 : x
  2. Step 2: Convert to fraction form
    27,569/33,617 = 33,617/x
  3. Step 3: Cross multiply
    27,569x = 33,617 × 33,617
  4. Step 4: Simplify right side
    27,569x = 1,130,102,689
  5. Step 5: Solve for x
    x = 1,130,102,689/27,569
  6. Step 6: Final answer
    x = 40,991.79

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.