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Finding the Third Proportional to 29,378 and 44,132

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Solution

The third proportional to 29,378 and 44,132 is: 66,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 44,132 = 44,132 : x
  2. Step 2: Convert to fraction form
    29,378/44,132 = 44,132/x
  3. Step 3: Cross multiply
    29,378x = 44,132 × 44,132
  4. Step 4: Simplify right side
    29,378x = 1,947,633,424
  5. Step 5: Solve for x
    x = 1,947,633,424/29,378
  6. Step 6: Final answer
    x = 66,295.64

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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.