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Finding the Third Proportional to 35,238.94 and 73,393.31

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Solution

The third proportional to 35,238.94 and 73,393.31 is: 152,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238.94 : 73,393.31 = 73,393.31 : x
  2. Step 2: Convert to fraction form
    35,238.94/73,393.31 = 73,393.31/x
  3. Step 3: Cross multiply
    35,238.94x = 73,393.31 × 73,393.31
  4. Step 4: Simplify right side
    35,238.94x = 5,386,578,319.72
  5. Step 5: Solve for x
    x = 5,386,578,319.72/35,238.94
  6. Step 6: Final answer
    x = 152,858.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.