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Finding the Third Proportional to 29,382 and 44,764

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Solution

The third proportional to 29,382 and 44,764 is: 68,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382 : 44,764 = 44,764 : x
  2. Step 2: Convert to fraction form
    29,382/44,764 = 44,764/x
  3. Step 3: Cross multiply
    29,382x = 44,764 × 44,764
  4. Step 4: Simplify right side
    29,382x = 2,003,815,696
  5. Step 5: Solve for x
    x = 2,003,815,696/29,382
  6. Step 6: Final answer
    x = 68,198.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.