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Finding the Third Proportional to 34,691.63 and 74,908.13

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Solution

The third proportional to 34,691.63 and 74,908.13 is: 161,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.63 : 74,908.13 = 74,908.13 : x
  2. Step 2: Convert to fraction form
    34,691.63/74,908.13 = 74,908.13/x
  3. Step 3: Cross multiply
    34,691.63x = 74,908.13 × 74,908.13
  4. Step 4: Simplify right side
    34,691.63x = 5,611,227,191.02
  5. Step 5: Solve for x
    x = 5,611,227,191.02/34,691.63
  6. Step 6: Final answer
    x = 161,745.87

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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.