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Finding the Third Proportional to 17,134 and 26,065

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Solution

The third proportional to 17,134 and 26,065 is: 39,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134 : 26,065 = 26,065 : x
  2. Step 2: Convert to fraction form
    17,134/26,065 = 26,065/x
  3. Step 3: Cross multiply
    17,134x = 26,065 × 26,065
  4. Step 4: Simplify right side
    17,134x = 679,384,225
  5. Step 5: Solve for x
    x = 679,384,225/17,134
  6. Step 6: Final answer
    x = 39,651.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.