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Finding the Third Proportional to 1,350.56 and 2,145.09

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Solution

The third proportional to 1,350.56 and 2,145.09 is: 3,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.56 : 2,145.09 = 2,145.09 : x
  2. Step 2: Convert to fraction form
    1,350.56/2,145.09 = 2,145.09/x
  3. Step 3: Cross multiply
    1,350.56x = 2,145.09 × 2,145.09
  4. Step 4: Simplify right side
    1,350.56x = 4,601,427.20
  5. Step 5: Solve for x
    x = 4,601,427.20/1,350.56
  6. Step 6: Final answer
    x = 3,407.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.