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Finding the Third Proportional to 1,575.49 and 2,079.63

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Solution

The third proportional to 1,575.49 and 2,079.63 is: 2,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.49 : 2,079.63 = 2,079.63 : x
  2. Step 2: Convert to fraction form
    1,575.49/2,079.63 = 2,079.63/x
  3. Step 3: Cross multiply
    1,575.49x = 2,079.63 × 2,079.63
  4. Step 4: Simplify right side
    1,575.49x = 4,324,872.63
  5. Step 5: Solve for x
    x = 4,324,872.63/1,575.49
  6. Step 6: Final answer
    x = 2,745.09

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.