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Finding the Third Proportional to 34,628.06 and 74,723.63

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Solution

The third proportional to 34,628.06 and 74,723.63 is: 161,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,628.06 : 74,723.63 = 74,723.63 : x
  2. Step 2: Convert to fraction form
    34,628.06/74,723.63 = 74,723.63/x
  3. Step 3: Cross multiply
    34,628.06x = 74,723.63 × 74,723.63
  4. Step 4: Simplify right side
    34,628.06x = 5,583,620,133.14
  5. Step 5: Solve for x
    x = 5,583,620,133.14/34,628.06
  6. Step 6: Final answer
    x = 161,245.53

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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.