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Finding the Third Proportional to 17,074 and 26,726

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Solution

The third proportional to 17,074 and 26,726 is: 41,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074 : 26,726 = 26,726 : x
  2. Step 2: Convert to fraction form
    17,074/26,726 = 26,726/x
  3. Step 3: Cross multiply
    17,074x = 26,726 × 26,726
  4. Step 4: Simplify right side
    17,074x = 714,279,076
  5. Step 5: Solve for x
    x = 714,279,076/17,074
  6. Step 6: Final answer
    x = 41,834.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.