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Finding the Third Proportional to 35,552.25 and 73,149.75

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Solution

The third proportional to 35,552.25 and 73,149.75 is: 150,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,552.25 : 73,149.75 = 73,149.75 : x
  2. Step 2: Convert to fraction form
    35,552.25/73,149.75 = 73,149.75/x
  3. Step 3: Cross multiply
    35,552.25x = 73,149.75 × 73,149.75
  4. Step 4: Simplify right side
    35,552.25x = 5,350,885,925.06
  5. Step 5: Solve for x
    x = 5,350,885,925.06/35,552.25
  6. Step 6: Final answer
    x = 150,507.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.