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Finding the Third Proportional to 1,571.06 and 2,394.56

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Solution

The third proportional to 1,571.06 and 2,394.56 is: 3,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.06 : 2,394.56 = 2,394.56 : x
  2. Step 2: Convert to fraction form
    1,571.06/2,394.56 = 2,394.56/x
  3. Step 3: Cross multiply
    1,571.06x = 2,394.56 × 2,394.56
  4. Step 4: Simplify right side
    1,571.06x = 5,733,929.57
  5. Step 5: Solve for x
    x = 5,733,929.57/1,571.06
  6. Step 6: Final answer
    x = 3,649.71

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