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Finding the Third Proportional to 24,234.75 and 34,905.19

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Solution

The third proportional to 24,234.75 and 34,905.19 is: 50,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.75 : 34,905.19 = 34,905.19 : x
  2. Step 2: Convert to fraction form
    24,234.75/34,905.19 = 34,905.19/x
  3. Step 3: Cross multiply
    24,234.75x = 34,905.19 × 34,905.19
  4. Step 4: Simplify right side
    24,234.75x = 1,218,372,114.41
  5. Step 5: Solve for x
    x = 1,218,372,114.41/24,234.75
  6. Step 6: Final answer
    x = 50,273.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.