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Finding the Third Proportional to 25,242.75 and 37,845

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Solution

The third proportional to 25,242.75 and 37,845 is: 56,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242.75 : 37,845 = 37,845 : x
  2. Step 2: Convert to fraction form
    25,242.75/37,845 = 37,845/x
  3. Step 3: Cross multiply
    25,242.75x = 37,845 × 37,845
  4. Step 4: Simplify right side
    25,242.75x = 1,432,244,025
  5. Step 5: Solve for x
    x = 1,432,244,025/25,242.75
  6. Step 6: Final answer
    x = 56,738.83

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Why These Related Problems?

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