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Finding the Third Proportional to 1,375.85 and 2,090.04

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Solution

The third proportional to 1,375.85 and 2,090.04 is: 3,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.85 : 2,090.04 = 2,090.04 : x
  2. Step 2: Convert to fraction form
    1,375.85/2,090.04 = 2,090.04/x
  3. Step 3: Cross multiply
    1,375.85x = 2,090.04 × 2,090.04
  4. Step 4: Simplify right side
    1,375.85x = 4,368,272.47
  5. Step 5: Solve for x
    x = 4,368,272.47/1,375.85
  6. Step 6: Final answer
    x = 3,174.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.