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Finding the Third Proportional to 23,115.38 and 48,579.75

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Solution

The third proportional to 23,115.38 and 48,579.75 is: 102,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.38 : 48,579.75 = 48,579.75 : x
  2. Step 2: Convert to fraction form
    23,115.38/48,579.75 = 48,579.75/x
  3. Step 3: Cross multiply
    23,115.38x = 48,579.75 × 48,579.75
  4. Step 4: Simplify right side
    23,115.38x = 2,359,992,110.06
  5. Step 5: Solve for x
    x = 2,359,992,110.06/23,115.38
  6. Step 6: Final answer
    x = 102,096.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.