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Finding the Third Proportional to 1,111.22 and 2,431.69

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Solution

The third proportional to 1,111.22 and 2,431.69 is: 5,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.22 : 2,431.69 = 2,431.69 : x
  2. Step 2: Convert to fraction form
    1,111.22/2,431.69 = 2,431.69/x
  3. Step 3: Cross multiply
    1,111.22x = 2,431.69 × 2,431.69
  4. Step 4: Simplify right side
    1,111.22x = 5,913,104.10
  5. Step 5: Solve for x
    x = 5,913,104.10/1,111.22
  6. Step 6: Final answer
    x = 5,321.28

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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.