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Finding the Third Proportional to 3,767.63 and 5,739.19

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Solution

The third proportional to 3,767.63 and 5,739.19 is: 8,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.63 : 5,739.19 = 5,739.19 : x
  2. Step 2: Convert to fraction form
    3,767.63/5,739.19 = 5,739.19/x
  3. Step 3: Cross multiply
    3,767.63x = 5,739.19 × 5,739.19
  4. Step 4: Simplify right side
    3,767.63x = 32,938,273.16
  5. Step 5: Solve for x
    x = 32,938,273.16/3,767.63
  6. Step 6: Final answer
    x = 8,742.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.