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Finding the Third Proportional to 1,879.88 and 2,672.16

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Solution

The third proportional to 1,879.88 and 2,672.16 is: 3,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.88 : 2,672.16 = 2,672.16 : x
  2. Step 2: Convert to fraction form
    1,879.88/2,672.16 = 2,672.16/x
  3. Step 3: Cross multiply
    1,879.88x = 2,672.16 × 2,672.16
  4. Step 4: Simplify right side
    1,879.88x = 7,140,419.02
  5. Step 5: Solve for x
    x = 7,140,419.02/1,879.88
  6. Step 6: Final answer
    x = 3,798.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.