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Finding the Third Proportional to 29,510 and 44,512

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Solution

The third proportional to 29,510 and 44,512 is: 67,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510 : 44,512 = 44,512 : x
  2. Step 2: Convert to fraction form
    29,510/44,512 = 44,512/x
  3. Step 3: Cross multiply
    29,510x = 44,512 × 44,512
  4. Step 4: Simplify right side
    29,510x = 1,981,318,144
  5. Step 5: Solve for x
    x = 1,981,318,144/29,510
  6. Step 6: Final answer
    x = 67,140.57

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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.