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Finding the Third Proportional to 29,815 and 44,722

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Solution

The third proportional to 29,815 and 44,722 is: 67,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815 : 44,722 = 44,722 : x
  2. Step 2: Convert to fraction form
    29,815/44,722 = 44,722/x
  3. Step 3: Cross multiply
    29,815x = 44,722 × 44,722
  4. Step 4: Simplify right side
    29,815x = 2,000,057,284
  5. Step 5: Solve for x
    x = 2,000,057,284/29,815
  6. Step 6: Final answer
    x = 67,082.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.