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Finding the Third Proportional to 1,786 and 3,659

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Solution

The third proportional to 1,786 and 3,659 is: 7,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 3,659 = 3,659 : x
  2. Step 2: Convert to fraction form
    1,786/3,659 = 3,659/x
  3. Step 3: Cross multiply
    1,786x = 3,659 × 3,659
  4. Step 4: Simplify right side
    1,786x = 13,388,281
  5. Step 5: Solve for x
    x = 13,388,281/1,786
  6. Step 6: Final answer
    x = 7,496.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.