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Finding the Third Proportional to 45,930.80 and 68,896.20

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Solution

The third proportional to 45,930.80 and 68,896.20 is: 103,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930.80 : 68,896.20 = 68,896.20 : x
  2. Step 2: Convert to fraction form
    45,930.80/68,896.20 = 68,896.20/x
  3. Step 3: Cross multiply
    45,930.80x = 68,896.20 × 68,896.20
  4. Step 4: Simplify right side
    45,930.80x = 4,746,685,728.54
  5. Step 5: Solve for x
    x = 4,746,685,728.54/45,930.80
  6. Step 6: Final answer
    x = 103,344.29

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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.