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Finding the Third Proportional to 29,299.50 and 43,823.25

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Solution

The third proportional to 29,299.50 and 43,823.25 is: 65,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,299.50 : 43,823.25 = 43,823.25 : x
  2. Step 2: Convert to fraction form
    29,299.50/43,823.25 = 43,823.25/x
  3. Step 3: Cross multiply
    29,299.50x = 43,823.25 × 43,823.25
  4. Step 4: Simplify right side
    29,299.50x = 1,920,477,240.56
  5. Step 5: Solve for x
    x = 1,920,477,240.56/29,299.50
  6. Step 6: Final answer
    x = 65,546.42

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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.