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Finding the Third Proportional to 46,313.25 and 70,469.25

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Solution

The third proportional to 46,313.25 and 70,469.25 is: 107,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,313.25 : 70,469.25 = 70,469.25 : x
  2. Step 2: Convert to fraction form
    46,313.25/70,469.25 = 70,469.25/x
  3. Step 3: Cross multiply
    46,313.25x = 70,469.25 × 70,469.25
  4. Step 4: Simplify right side
    46,313.25x = 4,965,915,195.56
  5. Step 5: Solve for x
    x = 4,965,915,195.56/46,313.25
  6. Step 6: Final answer
    x = 107,224.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.