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Finding the Third Proportional to 29,378.50 and 44,132.75

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Solution

The third proportional to 29,378.50 and 44,132.75 is: 66,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378.50 : 44,132.75 = 44,132.75 : x
  2. Step 2: Convert to fraction form
    29,378.50/44,132.75 = 44,132.75/x
  3. Step 3: Cross multiply
    29,378.50x = 44,132.75 × 44,132.75
  4. Step 4: Simplify right side
    29,378.50x = 1,947,699,622.56
  5. Step 5: Solve for x
    x = 1,947,699,622.56/29,378.50
  6. Step 6: Final answer
    x = 66,296.77

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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.