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Finding the Third Proportional to 4,086 and 6,157

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Solution

The third proportional to 4,086 and 6,157 is: 9,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086 : 6,157 = 6,157 : x
  2. Step 2: Convert to fraction form
    4,086/6,157 = 6,157/x
  3. Step 3: Cross multiply
    4,086x = 6,157 × 6,157
  4. Step 4: Simplify right side
    4,086x = 37,908,649
  5. Step 5: Solve for x
    x = 37,908,649/4,086
  6. Step 6: Final answer
    x = 9,277.69

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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.