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Finding the Third Proportional to 4,068.56 and 6,135.19

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Solution

The third proportional to 4,068.56 and 6,135.19 is: 9,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.56 : 6,135.19 = 6,135.19 : x
  2. Step 2: Convert to fraction form
    4,068.56/6,135.19 = 6,135.19/x
  3. Step 3: Cross multiply
    4,068.56x = 6,135.19 × 6,135.19
  4. Step 4: Simplify right side
    4,068.56x = 37,640,525.66
  5. Step 5: Solve for x
    x = 37,640,525.66/4,068.56
  6. Step 6: Final answer
    x = 9,251.55

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Why These Related Problems?

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