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Finding the Third Proportional to 3,911.26 and 6,065.51

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Solution

The third proportional to 3,911.26 and 6,065.51 is: 9,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.26 : 6,065.51 = 6,065.51 : x
  2. Step 2: Convert to fraction form
    3,911.26/6,065.51 = 6,065.51/x
  3. Step 3: Cross multiply
    3,911.26x = 6,065.51 × 6,065.51
  4. Step 4: Simplify right side
    3,911.26x = 36,790,385.02
  5. Step 5: Solve for x
    x = 36,790,385.02/3,911.26
  6. Step 6: Final answer
    x = 9,406.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.