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Finding the Third Proportional to 29,986.88 and 44,815.31

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Solution

The third proportional to 29,986.88 and 44,815.31 is: 66,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986.88 : 44,815.31 = 44,815.31 : x
  2. Step 2: Convert to fraction form
    29,986.88/44,815.31 = 44,815.31/x
  3. Step 3: Cross multiply
    29,986.88x = 44,815.31 × 44,815.31
  4. Step 4: Simplify right side
    29,986.88x = 2,008,412,234.47
  5. Step 5: Solve for x
    x = 2,008,412,234.47/29,986.88
  6. Step 6: Final answer
    x = 66,976.38

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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.