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Finding the Third Proportional to 29,172.75 and 59,415.56

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Solution

The third proportional to 29,172.75 and 59,415.56 is: 121,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172.75 : 59,415.56 = 59,415.56 : x
  2. Step 2: Convert to fraction form
    29,172.75/59,415.56 = 59,415.56/x
  3. Step 3: Cross multiply
    29,172.75x = 59,415.56 × 59,415.56
  4. Step 4: Simplify right side
    29,172.75x = 3,530,209,067.19
  5. Step 5: Solve for x
    x = 3,530,209,067.19/29,172.75
  6. Step 6: Final answer
    x = 121,010.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.