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Finding the Third Proportional to 29,567 and 65,694

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Solution

The third proportional to 29,567 and 65,694 is: 145,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567 : 65,694 = 65,694 : x
  2. Step 2: Convert to fraction form
    29,567/65,694 = 65,694/x
  3. Step 3: Cross multiply
    29,567x = 65,694 × 65,694
  4. Step 4: Simplify right side
    29,567x = 4,315,701,636
  5. Step 5: Solve for x
    x = 4,315,701,636/29,567
  6. Step 6: Final answer
    x = 145,963.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.