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Finding the Third Proportional to 1,255.92 and 2,662.45

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Solution

The third proportional to 1,255.92 and 2,662.45 is: 5,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.92 : 2,662.45 = 2,662.45 : x
  2. Step 2: Convert to fraction form
    1,255.92/2,662.45 = 2,662.45/x
  3. Step 3: Cross multiply
    1,255.92x = 2,662.45 × 2,662.45
  4. Step 4: Simplify right side
    1,255.92x = 7,088,656.64
  5. Step 5: Solve for x
    x = 7,088,656.64/1,255.92
  6. Step 6: Final answer
    x = 5,644.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.