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Finding the Third Proportional to 1,811.44 and 3,968.44

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Solution

The third proportional to 1,811.44 and 3,968.44 is: 8,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.44 : 3,968.44 = 3,968.44 : x
  2. Step 2: Convert to fraction form
    1,811.44/3,968.44 = 3,968.44/x
  3. Step 3: Cross multiply
    1,811.44x = 3,968.44 × 3,968.44
  4. Step 4: Simplify right side
    1,811.44x = 15,748,496.19
  5. Step 5: Solve for x
    x = 15,748,496.19/1,811.44
  6. Step 6: Final answer
    x = 8,693.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.