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Finding the Third Proportional to 1,238.73 and 1,811.58

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Solution

The third proportional to 1,238.73 and 1,811.58 is: 2,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.73 : 1,811.58 = 1,811.58 : x
  2. Step 2: Convert to fraction form
    1,238.73/1,811.58 = 1,811.58/x
  3. Step 3: Cross multiply
    1,238.73x = 1,811.58 × 1,811.58
  4. Step 4: Simplify right side
    1,238.73x = 3,281,836.53
  5. Step 5: Solve for x
    x = 3,281,836.53/1,238.73
  6. Step 6: Final answer
    x = 2,649.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.