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Finding the Third Proportional to 1,322.06 and 2,826.44

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Solution

The third proportional to 1,322.06 and 2,826.44 is: 6,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.06 : 2,826.44 = 2,826.44 : x
  2. Step 2: Convert to fraction form
    1,322.06/2,826.44 = 2,826.44/x
  3. Step 3: Cross multiply
    1,322.06x = 2,826.44 × 2,826.44
  4. Step 4: Simplify right side
    1,322.06x = 7,988,748.94
  5. Step 5: Solve for x
    x = 7,988,748.94/1,322.06
  6. Step 6: Final answer
    x = 6,042.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.