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Finding the Third Proportional to 10,591.31 and 23,027.06

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Solution

The third proportional to 10,591.31 and 23,027.06 is: 50,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.31 : 23,027.06 = 23,027.06 : x
  2. Step 2: Convert to fraction form
    10,591.31/23,027.06 = 23,027.06/x
  3. Step 3: Cross multiply
    10,591.31x = 23,027.06 × 23,027.06
  4. Step 4: Simplify right side
    10,591.31x = 530,245,607.38
  5. Step 5: Solve for x
    x = 530,245,607.38/10,591.31
  6. Step 6: Final answer
    x = 50,064.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.