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Finding the Third Proportional to 6,086 and 13,288.25

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Solution

The third proportional to 6,086 and 13,288.25 is: 29,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 13,288.25 = 13,288.25 : x
  2. Step 2: Convert to fraction form
    6,086/13,288.25 = 13,288.25/x
  3. Step 3: Cross multiply
    6,086x = 13,288.25 × 13,288.25
  4. Step 4: Simplify right side
    6,086x = 176,577,588.06
  5. Step 5: Solve for x
    x = 176,577,588.06/6,086
  6. Step 6: Final answer
    x = 29,013.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.