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Finding the Third Proportional to 29,934 and 44,321

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Solution

The third proportional to 29,934 and 44,321 is: 65,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934 : 44,321 = 44,321 : x
  2. Step 2: Convert to fraction form
    29,934/44,321 = 44,321/x
  3. Step 3: Cross multiply
    29,934x = 44,321 × 44,321
  4. Step 4: Simplify right side
    29,934x = 1,964,351,041
  5. Step 5: Solve for x
    x = 1,964,351,041/29,934
  6. Step 6: Final answer
    x = 65,622.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.