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Finding the Third Proportional to 17,132 and 26,518

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Solution

The third proportional to 17,132 and 26,518 is: 41,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132 : 26,518 = 26,518 : x
  2. Step 2: Convert to fraction form
    17,132/26,518 = 26,518/x
  3. Step 3: Cross multiply
    17,132x = 26,518 × 26,518
  4. Step 4: Simplify right side
    17,132x = 703,204,324
  5. Step 5: Solve for x
    x = 703,204,324/17,132
  6. Step 6: Final answer
    x = 41,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.