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Finding the Third Proportional to 48,223.69 and 73,974.94

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Solution

The third proportional to 48,223.69 and 73,974.94 is: 113,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,223.69 : 73,974.94 = 73,974.94 : x
  2. Step 2: Convert to fraction form
    48,223.69/73,974.94 = 73,974.94/x
  3. Step 3: Cross multiply
    48,223.69x = 73,974.94 × 73,974.94
  4. Step 4: Simplify right side
    48,223.69x = 5,472,291,378.13
  5. Step 5: Solve for x
    x = 5,472,291,378.13/48,223.69
  6. Step 6: Final answer
    x = 113,477.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.