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Finding the Third Proportional to 3,927.19 and 5,161.69

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Solution

The third proportional to 3,927.19 and 5,161.69 is: 6,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.19 : 5,161.69 = 5,161.69 : x
  2. Step 2: Convert to fraction form
    3,927.19/5,161.69 = 5,161.69/x
  3. Step 3: Cross multiply
    3,927.19x = 5,161.69 × 5,161.69
  4. Step 4: Simplify right side
    3,927.19x = 26,643,017.85
  5. Step 5: Solve for x
    x = 26,643,017.85/3,927.19
  6. Step 6: Final answer
    x = 6,784.25

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.