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Finding the Third Proportional to 6,183 and 9,281.25

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Solution

The third proportional to 6,183 and 9,281.25 is: 13,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183 : 9,281.25 = 9,281.25 : x
  2. Step 2: Convert to fraction form
    6,183/9,281.25 = 9,281.25/x
  3. Step 3: Cross multiply
    6,183x = 9,281.25 × 9,281.25
  4. Step 4: Simplify right side
    6,183x = 86,141,601.56
  5. Step 5: Solve for x
    x = 86,141,601.56/6,183
  6. Step 6: Final answer
    x = 13,932.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.