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Finding the Third Proportional to 34,630.35 and 74,796.54

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Solution

The third proportional to 34,630.35 and 74,796.54 is: 161,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,630.35 : 74,796.54 = 74,796.54 : x
  2. Step 2: Convert to fraction form
    34,630.35/74,796.54 = 74,796.54/x
  3. Step 3: Cross multiply
    34,630.35x = 74,796.54 × 74,796.54
  4. Step 4: Simplify right side
    34,630.35x = 5,594,522,255.73
  5. Step 5: Solve for x
    x = 5,594,522,255.73/34,630.35
  6. Step 6: Final answer
    x = 161,549.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.