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Finding the Third Proportional to 17,388 and 27,656

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Solution

The third proportional to 17,388 and 27,656 is: 43,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,388 : 27,656 = 27,656 : x
  2. Step 2: Convert to fraction form
    17,388/27,656 = 27,656/x
  3. Step 3: Cross multiply
    17,388x = 27,656 × 27,656
  4. Step 4: Simplify right side
    17,388x = 764,854,336
  5. Step 5: Solve for x
    x = 764,854,336/17,388
  6. Step 6: Final answer
    x = 43,987.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.