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Finding the Third Proportional to 1,322.58 and 2,874.23

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Solution

The third proportional to 1,322.58 and 2,874.23 is: 6,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.58 : 2,874.23 = 2,874.23 : x
  2. Step 2: Convert to fraction form
    1,322.58/2,874.23 = 2,874.23/x
  3. Step 3: Cross multiply
    1,322.58x = 2,874.23 × 2,874.23
  4. Step 4: Simplify right side
    1,322.58x = 8,261,223.24
  5. Step 5: Solve for x
    x = 8,261,223.24/1,322.58
  6. Step 6: Final answer
    x = 6,246.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.