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Finding the Third Proportional to 33,274.13 and 73,929.38

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Solution

The third proportional to 33,274.13 and 73,929.38 is: 164,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.13 : 73,929.38 = 73,929.38 : x
  2. Step 2: Convert to fraction form
    33,274.13/73,929.38 = 73,929.38/x
  3. Step 3: Cross multiply
    33,274.13x = 73,929.38 × 73,929.38
  4. Step 4: Simplify right side
    33,274.13x = 5,465,552,487.89
  5. Step 5: Solve for x
    x = 5,465,552,487.89/33,274.13
  6. Step 6: Final answer
    x = 164,258.34

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.