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Finding the Third Proportional to 17,238 and 26,605

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Solution

The third proportional to 17,238 and 26,605 is: 41,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238 : 26,605 = 26,605 : x
  2. Step 2: Convert to fraction form
    17,238/26,605 = 26,605/x
  3. Step 3: Cross multiply
    17,238x = 26,605 × 26,605
  4. Step 4: Simplify right side
    17,238x = 707,826,025
  5. Step 5: Solve for x
    x = 707,826,025/17,238
  6. Step 6: Final answer
    x = 41,061.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.