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Finding the Third Proportional to 1,764 and 2,322

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Solution

The third proportional to 1,764 and 2,322 is: 3,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764 : 2,322 = 2,322 : x
  2. Step 2: Convert to fraction form
    1,764/2,322 = 2,322/x
  3. Step 3: Cross multiply
    1,764x = 2,322 × 2,322
  4. Step 4: Simplify right side
    1,764x = 5,391,684
  5. Step 5: Solve for x
    x = 5,391,684/1,764
  6. Step 6: Final answer
    x = 3,056.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.