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Finding the Third Proportional to 33,616.13 and 73,792.13

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Solution

The third proportional to 33,616.13 and 73,792.13 is: 161,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616.13 : 73,792.13 = 73,792.13 : x
  2. Step 2: Convert to fraction form
    33,616.13/73,792.13 = 73,792.13/x
  3. Step 3: Cross multiply
    33,616.13x = 73,792.13 × 73,792.13
  4. Step 4: Simplify right side
    33,616.13x = 5,445,277,712.02
  5. Step 5: Solve for x
    x = 5,445,277,712.02/33,616.13
  6. Step 6: Final answer
    x = 161,984.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.