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Finding the Third Proportional to 27,406 and 43,569

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Solution

The third proportional to 27,406 and 43,569 is: 69,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 43,569 = 43,569 : x
  2. Step 2: Convert to fraction form
    27,406/43,569 = 43,569/x
  3. Step 3: Cross multiply
    27,406x = 43,569 × 43,569
  4. Step 4: Simplify right side
    27,406x = 1,898,257,761
  5. Step 5: Solve for x
    x = 1,898,257,761/27,406
  6. Step 6: Final answer
    x = 69,264.31

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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.