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Finding the Third Proportional to 17,509 and 26,777

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Solution

The third proportional to 17,509 and 26,777 is: 40,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509 : 26,777 = 26,777 : x
  2. Step 2: Convert to fraction form
    17,509/26,777 = 26,777/x
  3. Step 3: Cross multiply
    17,509x = 26,777 × 26,777
  4. Step 4: Simplify right side
    17,509x = 717,007,729
  5. Step 5: Solve for x
    x = 717,007,729/17,509
  6. Step 6: Final answer
    x = 40,950.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.