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Finding the Third Proportional to 46,512.38 and 73,921.13

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Solution

The third proportional to 46,512.38 and 73,921.13 is: 117,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512.38 : 73,921.13 = 73,921.13 : x
  2. Step 2: Convert to fraction form
    46,512.38/73,921.13 = 73,921.13/x
  3. Step 3: Cross multiply
    46,512.38x = 73,921.13 × 73,921.13
  4. Step 4: Simplify right side
    46,512.38x = 5,464,332,721.27
  5. Step 5: Solve for x
    x = 5,464,332,721.27/46,512.38
  6. Step 6: Final answer
    x = 117,481.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.