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Finding the Third Proportional to 1,105.31 and 2,316.94

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Solution

The third proportional to 1,105.31 and 2,316.94 is: 4,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.31 : 2,316.94 = 2,316.94 : x
  2. Step 2: Convert to fraction form
    1,105.31/2,316.94 = 2,316.94/x
  3. Step 3: Cross multiply
    1,105.31x = 2,316.94 × 2,316.94
  4. Step 4: Simplify right side
    1,105.31x = 5,368,199.38
  5. Step 5: Solve for x
    x = 5,368,199.38/1,105.31
  6. Step 6: Final answer
    x = 4,856.73

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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.