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Finding the Third Proportional to 17,176 and 26,540

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Solution

The third proportional to 17,176 and 26,540 is: 41,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 26,540 = 26,540 : x
  2. Step 2: Convert to fraction form
    17,176/26,540 = 26,540/x
  3. Step 3: Cross multiply
    17,176x = 26,540 × 26,540
  4. Step 4: Simplify right side
    17,176x = 704,371,600
  5. Step 5: Solve for x
    x = 704,371,600/17,176
  6. Step 6: Final answer
    x = 41,009.06

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