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Finding the Third Proportional to 1,287.77 and 2,773.93

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Solution

The third proportional to 1,287.77 and 2,773.93 is: 5,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.77 : 2,773.93 = 2,773.93 : x
  2. Step 2: Convert to fraction form
    1,287.77/2,773.93 = 2,773.93/x
  3. Step 3: Cross multiply
    1,287.77x = 2,773.93 × 2,773.93
  4. Step 4: Simplify right side
    1,287.77x = 7,694,707.58
  5. Step 5: Solve for x
    x = 7,694,707.58/1,287.77
  6. Step 6: Final answer
    x = 5,975.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.