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Finding the Third Proportional to 35,747.16 and 76,243.78

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Solution

The third proportional to 35,747.16 and 76,243.78 is: 162,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,747.16 : 76,243.78 = 76,243.78 : x
  2. Step 2: Convert to fraction form
    35,747.16/76,243.78 = 76,243.78/x
  3. Step 3: Cross multiply
    35,747.16x = 76,243.78 × 76,243.78
  4. Step 4: Simplify right side
    35,747.16x = 5,813,114,179.30
  5. Step 5: Solve for x
    x = 5,813,114,179.30/35,747.16
  6. Step 6: Final answer
    x = 162,617.53

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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.