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Finding the Third Proportional to 27,355 and 59,444

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Solution

The third proportional to 27,355 and 59,444 is: 129,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,355 : 59,444 = 59,444 : x
  2. Step 2: Convert to fraction form
    27,355/59,444 = 59,444/x
  3. Step 3: Cross multiply
    27,355x = 59,444 × 59,444
  4. Step 4: Simplify right side
    27,355x = 3,533,589,136
  5. Step 5: Solve for x
    x = 3,533,589,136/27,355
  6. Step 6: Final answer
    x = 129,175.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.