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Finding the Third Proportional to 45,747 and 68,622

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Solution

The third proportional to 45,747 and 68,622 is: 102,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,747 : 68,622 = 68,622 : x
  2. Step 2: Convert to fraction form
    45,747/68,622 = 68,622/x
  3. Step 3: Cross multiply
    45,747x = 68,622 × 68,622
  4. Step 4: Simplify right side
    45,747x = 4,708,978,884
  5. Step 5: Solve for x
    x = 4,708,978,884/45,747
  6. Step 6: Final answer
    x = 102,935.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.