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Finding the Third Proportional to 3,761.63 and 5,642.63

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Solution

The third proportional to 3,761.63 and 5,642.63 is: 8,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.63 : 5,642.63 = 5,642.63 : x
  2. Step 2: Convert to fraction form
    3,761.63/5,642.63 = 5,642.63/x
  3. Step 3: Cross multiply
    3,761.63x = 5,642.63 × 5,642.63
  4. Step 4: Simplify right side
    3,761.63x = 31,839,216.89
  5. Step 5: Solve for x
    x = 31,839,216.89/3,761.63
  6. Step 6: Final answer
    x = 8,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.