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Finding the Third Proportional to 48,053.25 and 73,961.44

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Solution

The third proportional to 48,053.25 and 73,961.44 is: 113,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,053.25 : 73,961.44 = 73,961.44 : x
  2. Step 2: Convert to fraction form
    48,053.25/73,961.44 = 73,961.44/x
  3. Step 3: Cross multiply
    48,053.25x = 73,961.44 × 73,961.44
  4. Step 4: Simplify right side
    48,053.25x = 5,470,294,237.07
  5. Step 5: Solve for x
    x = 5,470,294,237.07/48,053.25
  6. Step 6: Final answer
    x = 113,838.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.