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Finding the Third Proportional to 47,224.75 and 65,452.75

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Solution

The third proportional to 47,224.75 and 65,452.75 is: 90,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224.75 : 65,452.75 = 65,452.75 : x
  2. Step 2: Convert to fraction form
    47,224.75/65,452.75 = 65,452.75/x
  3. Step 3: Cross multiply
    47,224.75x = 65,452.75 × 65,452.75
  4. Step 4: Simplify right side
    47,224.75x = 4,284,062,482.56
  5. Step 5: Solve for x
    x = 4,284,062,482.56/47,224.75
  6. Step 6: Final answer
    x = 90,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.