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Finding the Third Proportional to 29,800.50 and 67,941

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Solution

The third proportional to 29,800.50 and 67,941 is: 154,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800.50 : 67,941 = 67,941 : x
  2. Step 2: Convert to fraction form
    29,800.50/67,941 = 67,941/x
  3. Step 3: Cross multiply
    29,800.50x = 67,941 × 67,941
  4. Step 4: Simplify right side
    29,800.50x = 4,615,979,481
  5. Step 5: Solve for x
    x = 4,615,979,481/29,800.50
  6. Step 6: Final answer
    x = 154,896.04

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.