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Finding the Third Proportional to 9,757.31 and 23,025.84

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Solution

The third proportional to 9,757.31 and 23,025.84 is: 54,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.31 : 23,025.84 = 23,025.84 : x
  2. Step 2: Convert to fraction form
    9,757.31/23,025.84 = 23,025.84/x
  3. Step 3: Cross multiply
    9,757.31x = 23,025.84 × 23,025.84
  4. Step 4: Simplify right side
    9,757.31x = 530,189,480.40
  5. Step 5: Solve for x
    x = 530,189,480.40/9,757.31
  6. Step 6: Final answer
    x = 54,337.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.