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Finding the Third Proportional to 23,115.38 and 34,774.31

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Solution

The third proportional to 23,115.38 and 34,774.31 is: 52,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.38 : 34,774.31 = 34,774.31 : x
  2. Step 2: Convert to fraction form
    23,115.38/34,774.31 = 34,774.31/x
  3. Step 3: Cross multiply
    23,115.38x = 34,774.31 × 34,774.31
  4. Step 4: Simplify right side
    23,115.38x = 1,209,252,809.85
  5. Step 5: Solve for x
    x = 1,209,252,809.85/23,115.38
  6. Step 6: Final answer
    x = 52,313.79

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