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Finding the Third Proportional to 1,104.75 and 1,614.38

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Solution

The third proportional to 1,104.75 and 1,614.38 is: 2,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.75 : 1,614.38 = 1,614.38 : x
  2. Step 2: Convert to fraction form
    1,104.75/1,614.38 = 1,614.38/x
  3. Step 3: Cross multiply
    1,104.75x = 1,614.38 × 1,614.38
  4. Step 4: Simplify right side
    1,104.75x = 2,606,206.64
  5. Step 5: Solve for x
    x = 2,606,206.64/1,104.75
  6. Step 6: Final answer
    x = 2,359.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.