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Finding the Third Proportional to 1,117.22 and 2,418.38

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Solution

The third proportional to 1,117.22 and 2,418.38 is: 5,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.22 : 2,418.38 = 2,418.38 : x
  2. Step 2: Convert to fraction form
    1,117.22/2,418.38 = 2,418.38/x
  3. Step 3: Cross multiply
    1,117.22x = 2,418.38 × 2,418.38
  4. Step 4: Simplify right side
    1,117.22x = 5,848,537.64
  5. Step 5: Solve for x
    x = 5,848,537.64/1,117.22
  6. Step 6: Final answer
    x = 5,234.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.