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Finding the Third Proportional to 29,342.25 and 51,212.25

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Solution

The third proportional to 29,342.25 and 51,212.25 is: 89,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,342.25 : 51,212.25 = 51,212.25 : x
  2. Step 2: Convert to fraction form
    29,342.25/51,212.25 = 51,212.25/x
  3. Step 3: Cross multiply
    29,342.25x = 51,212.25 × 51,212.25
  4. Step 4: Simplify right side
    29,342.25x = 2,622,694,550.06
  5. Step 5: Solve for x
    x = 2,622,694,550.06/29,342.25
  6. Step 6: Final answer
    x = 89,382.87

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.