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Finding the Third Proportional to 29,007 and 44,115

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Solution

The third proportional to 29,007 and 44,115 is: 67,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,007 : 44,115 = 44,115 : x
  2. Step 2: Convert to fraction form
    29,007/44,115 = 44,115/x
  3. Step 3: Cross multiply
    29,007x = 44,115 × 44,115
  4. Step 4: Simplify right side
    29,007x = 1,946,133,225
  5. Step 5: Solve for x
    x = 1,946,133,225/29,007
  6. Step 6: Final answer
    x = 67,091.85

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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.