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Finding the Third Proportional to 29,269.50 and 62,022

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Solution

The third proportional to 29,269.50 and 62,022 is: 131,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269.50 : 62,022 = 62,022 : x
  2. Step 2: Convert to fraction form
    29,269.50/62,022 = 62,022/x
  3. Step 3: Cross multiply
    29,269.50x = 62,022 × 62,022
  4. Step 4: Simplify right side
    29,269.50x = 3,846,728,484
  5. Step 5: Solve for x
    x = 3,846,728,484/29,269.50
  6. Step 6: Final answer
    x = 131,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.