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Finding the Third Proportional to 33,590.25 and 47,756.25

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Solution

The third proportional to 33,590.25 and 47,756.25 is: 67,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.25 : 47,756.25 = 47,756.25 : x
  2. Step 2: Convert to fraction form
    33,590.25/47,756.25 = 47,756.25/x
  3. Step 3: Cross multiply
    33,590.25x = 47,756.25 × 47,756.25
  4. Step 4: Simplify right side
    33,590.25x = 2,280,659,414.06
  5. Step 5: Solve for x
    x = 2,280,659,414.06/33,590.25
  6. Step 6: Final answer
    x = 67,896.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.