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Finding the Third Proportional to 29,205.56 and 41,325.19

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Solution

The third proportional to 29,205.56 and 41,325.19 is: 58,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205.56 : 41,325.19 = 41,325.19 : x
  2. Step 2: Convert to fraction form
    29,205.56/41,325.19 = 41,325.19/x
  3. Step 3: Cross multiply
    29,205.56x = 41,325.19 × 41,325.19
  4. Step 4: Simplify right side
    29,205.56x = 1,707,771,121.91
  5. Step 5: Solve for x
    x = 1,707,771,121.91/29,205.56
  6. Step 6: Final answer
    x = 58,474.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.