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Finding the Third Proportional to 1,362.66 and 2,098.41

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Solution

The third proportional to 1,362.66 and 2,098.41 is: 3,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.66 : 2,098.41 = 2,098.41 : x
  2. Step 2: Convert to fraction form
    1,362.66/2,098.41 = 2,098.41/x
  3. Step 3: Cross multiply
    1,362.66x = 2,098.41 × 2,098.41
  4. Step 4: Simplify right side
    1,362.66x = 4,403,308.79
  5. Step 5: Solve for x
    x = 4,403,308.79/1,362.66
  6. Step 6: Final answer
    x = 3,231.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.