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Finding the Third Proportional to 29,983.50 and 44,813.25

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Solution

The third proportional to 29,983.50 and 44,813.25 is: 66,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983.50 : 44,813.25 = 44,813.25 : x
  2. Step 2: Convert to fraction form
    29,983.50/44,813.25 = 44,813.25/x
  3. Step 3: Cross multiply
    29,983.50x = 44,813.25 × 44,813.25
  4. Step 4: Simplify right side
    29,983.50x = 2,008,227,375.56
  5. Step 5: Solve for x
    x = 2,008,227,375.56/29,983.50
  6. Step 6: Final answer
    x = 66,977.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.