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Finding the Third Proportional to 2,318.06 and 4,997.25

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Solution

The third proportional to 2,318.06 and 4,997.25 is: 10,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.06 : 4,997.25 = 4,997.25 : x
  2. Step 2: Convert to fraction form
    2,318.06/4,997.25 = 4,997.25/x
  3. Step 3: Cross multiply
    2,318.06x = 4,997.25 × 4,997.25
  4. Step 4: Simplify right side
    2,318.06x = 24,972,507.56
  5. Step 5: Solve for x
    x = 24,972,507.56/2,318.06
  6. Step 6: Final answer
    x = 10,773.01

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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.