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Finding the Third Proportional to 1,891.48 and 3,965.20

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Solution

The third proportional to 1,891.48 and 3,965.20 is: 8,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.48 : 3,965.20 = 3,965.20 : x
  2. Step 2: Convert to fraction form
    1,891.48/3,965.20 = 3,965.20/x
  3. Step 3: Cross multiply
    1,891.48x = 3,965.20 × 3,965.20
  4. Step 4: Simplify right side
    1,891.48x = 15,722,835.82
  5. Step 5: Solve for x
    x = 15,722,835.82/1,891.48
  6. Step 6: Final answer
    x = 8,312.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.