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Finding the Third Proportional to 6,086 and 13,143

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Solution

The third proportional to 6,086 and 13,143 is: 28,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 13,143 = 13,143 : x
  2. Step 2: Convert to fraction form
    6,086/13,143 = 13,143/x
  3. Step 3: Cross multiply
    6,086x = 13,143 × 13,143
  4. Step 4: Simplify right side
    6,086x = 172,738,449
  5. Step 5: Solve for x
    x = 172,738,449/6,086
  6. Step 6: Final answer
    x = 28,382.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.