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Finding the Third Proportional to 33,976.13 and 64,867.50

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Solution

The third proportional to 33,976.13 and 64,867.50 is: 123,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976.13 : 64,867.50 = 64,867.50 : x
  2. Step 2: Convert to fraction form
    33,976.13/64,867.50 = 64,867.50/x
  3. Step 3: Cross multiply
    33,976.13x = 64,867.50 × 64,867.50
  4. Step 4: Simplify right side
    33,976.13x = 4,207,792,556.25
  5. Step 5: Solve for x
    x = 4,207,792,556.25/33,976.13
  6. Step 6: Final answer
    x = 123,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.