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Finding the Third Proportional to 1,407.56 and 1,826.44

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Solution

The third proportional to 1,407.56 and 1,826.44 is: 2,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.56 : 1,826.44 = 1,826.44 : x
  2. Step 2: Convert to fraction form
    1,407.56/1,826.44 = 1,826.44/x
  3. Step 3: Cross multiply
    1,407.56x = 1,826.44 × 1,826.44
  4. Step 4: Simplify right side
    1,407.56x = 3,335,873.94
  5. Step 5: Solve for x
    x = 3,335,873.94/1,407.56
  6. Step 6: Final answer
    x = 2,369.97

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.