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Finding the Third Proportional to 1,110.38 and 2,326.88

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Solution

The third proportional to 1,110.38 and 2,326.88 is: 4,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.38 : 2,326.88 = 2,326.88 : x
  2. Step 2: Convert to fraction form
    1,110.38/2,326.88 = 2,326.88/x
  3. Step 3: Cross multiply
    1,110.38x = 2,326.88 × 2,326.88
  4. Step 4: Simplify right side
    1,110.38x = 5,414,347.27
  5. Step 5: Solve for x
    x = 5,414,347.27/1,110.38
  6. Step 6: Final answer
    x = 4,876.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.