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Finding the Third Proportional to 17,768 and 29,596

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Solution

The third proportional to 17,768 and 29,596 is: 49,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 29,596 = 29,596 : x
  2. Step 2: Convert to fraction form
    17,768/29,596 = 29,596/x
  3. Step 3: Cross multiply
    17,768x = 29,596 × 29,596
  4. Step 4: Simplify right side
    17,768x = 875,923,216
  5. Step 5: Solve for x
    x = 875,923,216/17,768
  6. Step 6: Final answer
    x = 49,297.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.