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Finding the Third Proportional to 3,796.88 and 5,567.06

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Solution

The third proportional to 3,796.88 and 5,567.06 is: 8,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.88 : 5,567.06 = 5,567.06 : x
  2. Step 2: Convert to fraction form
    3,796.88/5,567.06 = 5,567.06/x
  3. Step 3: Cross multiply
    3,796.88x = 5,567.06 × 5,567.06
  4. Step 4: Simplify right side
    3,796.88x = 30,992,184.88
  5. Step 5: Solve for x
    x = 30,992,184.88/3,796.88
  6. Step 6: Final answer
    x = 8,162.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.