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Finding the Third Proportional to 13,539 and 29,569

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Solution

The third proportional to 13,539 and 29,569 is: 64,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 29,569 = 29,569 : x
  2. Step 2: Convert to fraction form
    13,539/29,569 = 29,569/x
  3. Step 3: Cross multiply
    13,539x = 29,569 × 29,569
  4. Step 4: Simplify right side
    13,539x = 874,325,761
  5. Step 5: Solve for x
    x = 874,325,761/13,539
  6. Step 6: Final answer
    x = 64,578.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.