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Finding the Third Proportional to 29,512 and 44,515

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Solution

The third proportional to 29,512 and 44,515 is: 67,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,512 : 44,515 = 44,515 : x
  2. Step 2: Convert to fraction form
    29,512/44,515 = 44,515/x
  3. Step 3: Cross multiply
    29,512x = 44,515 × 44,515
  4. Step 4: Simplify right side
    29,512x = 1,981,585,225
  5. Step 5: Solve for x
    x = 1,981,585,225/29,512
  6. Step 6: Final answer
    x = 67,145.07

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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.