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Finding the Third Proportional to 17,228 and 25,986

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Solution

The third proportional to 17,228 and 25,986 is: 39,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228 : 25,986 = 25,986 : x
  2. Step 2: Convert to fraction form
    17,228/25,986 = 25,986/x
  3. Step 3: Cross multiply
    17,228x = 25,986 × 25,986
  4. Step 4: Simplify right side
    17,228x = 675,272,196
  5. Step 5: Solve for x
    x = 675,272,196/17,228
  6. Step 6: Final answer
    x = 39,196.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.