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Finding the Third Proportional to 1,746 and 3,822

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Solution

The third proportional to 1,746 and 3,822 is: 8,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746 : 3,822 = 3,822 : x
  2. Step 2: Convert to fraction form
    1,746/3,822 = 3,822/x
  3. Step 3: Cross multiply
    1,746x = 3,822 × 3,822
  4. Step 4: Simplify right side
    1,746x = 14,607,684
  5. Step 5: Solve for x
    x = 14,607,684/1,746
  6. Step 6: Final answer
    x = 8,366.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.