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Finding the Third Proportional to 1,811.11 and 2,405.32

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Solution

The third proportional to 1,811.11 and 2,405.32 is: 3,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.11 : 2,405.32 = 2,405.32 : x
  2. Step 2: Convert to fraction form
    1,811.11/2,405.32 = 2,405.32/x
  3. Step 3: Cross multiply
    1,811.11x = 2,405.32 × 2,405.32
  4. Step 4: Simplify right side
    1,811.11x = 5,785,565.81
  5. Step 5: Solve for x
    x = 5,785,565.81/1,811.11
  6. Step 6: Final answer
    x = 3,194.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.