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Finding the Third Proportional to 34,844.63 and 74,184.75

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Solution

The third proportional to 34,844.63 and 74,184.75 is: 157,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,844.63 : 74,184.75 = 74,184.75 : x
  2. Step 2: Convert to fraction form
    34,844.63/74,184.75 = 74,184.75/x
  3. Step 3: Cross multiply
    34,844.63x = 74,184.75 × 74,184.75
  4. Step 4: Simplify right side
    34,844.63x = 5,503,377,132.56
  5. Step 5: Solve for x
    x = 5,503,377,132.56/34,844.63
  6. Step 6: Final answer
    x = 157,940.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.