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Finding the Third Proportional to 29,222.50 and 41,349.25

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Solution

The third proportional to 29,222.50 and 41,349.25 is: 58,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222.50 : 41,349.25 = 41,349.25 : x
  2. Step 2: Convert to fraction form
    29,222.50/41,349.25 = 41,349.25/x
  3. Step 3: Cross multiply
    29,222.50x = 41,349.25 × 41,349.25
  4. Step 4: Simplify right side
    29,222.50x = 1,709,760,475.56
  5. Step 5: Solve for x
    x = 1,709,760,475.56/29,222.50
  6. Step 6: Final answer
    x = 58,508.36

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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.