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Finding the Third Proportional to 3,907.69 and 5,899.22

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Solution

The third proportional to 3,907.69 and 5,899.22 is: 8,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.69 : 5,899.22 = 5,899.22 : x
  2. Step 2: Convert to fraction form
    3,907.69/5,899.22 = 5,899.22/x
  3. Step 3: Cross multiply
    3,907.69x = 5,899.22 × 5,899.22
  4. Step 4: Simplify right side
    3,907.69x = 34,800,781.86
  5. Step 5: Solve for x
    x = 34,800,781.86/3,907.69
  6. Step 6: Final answer
    x = 8,905.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.