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Finding the Third Proportional to 29,640 and 44,876

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Solution

The third proportional to 29,640 and 44,876 is: 67,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 44,876 = 44,876 : x
  2. Step 2: Convert to fraction form
    29,640/44,876 = 44,876/x
  3. Step 3: Cross multiply
    29,640x = 44,876 × 44,876
  4. Step 4: Simplify right side
    29,640x = 2,013,855,376
  5. Step 5: Solve for x
    x = 2,013,855,376/29,640
  6. Step 6: Final answer
    x = 67,943.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.