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Finding the Third Proportional to 1,188.42 and 1,811.11

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Solution

The third proportional to 1,188.42 and 1,811.11 is: 2,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.42 : 1,811.11 = 1,811.11 : x
  2. Step 2: Convert to fraction form
    1,188.42/1,811.11 = 1,811.11/x
  3. Step 3: Cross multiply
    1,188.42x = 1,811.11 × 1,811.11
  4. Step 4: Simplify right side
    1,188.42x = 3,280,117.17
  5. Step 5: Solve for x
    x = 3,280,117.17/1,188.42
  6. Step 6: Final answer
    x = 2,760.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.