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Finding the Third Proportional to 1,742.77 and 3,793.08

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Solution

The third proportional to 1,742.77 and 3,793.08 is: 8,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.77 : 3,793.08 = 3,793.08 : x
  2. Step 2: Convert to fraction form
    1,742.77/3,793.08 = 3,793.08/x
  3. Step 3: Cross multiply
    1,742.77x = 3,793.08 × 3,793.08
  4. Step 4: Simplify right side
    1,742.77x = 14,387,441.66
  5. Step 5: Solve for x
    x = 14,387,441.66/1,742.77
  6. Step 6: Final answer
    x = 8,255.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.