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Finding the Third Proportional to 34,968.38 and 74,844.84

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Solution

The third proportional to 34,968.38 and 74,844.84 is: 160,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968.38 : 74,844.84 = 74,844.84 : x
  2. Step 2: Convert to fraction form
    34,968.38/74,844.84 = 74,844.84/x
  3. Step 3: Cross multiply
    34,968.38x = 74,844.84 × 74,844.84
  4. Step 4: Simplify right side
    34,968.38x = 5,601,750,635.96
  5. Step 5: Solve for x
    x = 5,601,750,635.96/34,968.38
  6. Step 6: Final answer
    x = 160,194.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.