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Finding the Third Proportional to 21,407 and 30,734

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Solution

The third proportional to 21,407 and 30,734 is: 44,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407 : 30,734 = 30,734 : x
  2. Step 2: Convert to fraction form
    21,407/30,734 = 30,734/x
  3. Step 3: Cross multiply
    21,407x = 30,734 × 30,734
  4. Step 4: Simplify right side
    21,407x = 944,578,756
  5. Step 5: Solve for x
    x = 944,578,756/21,407
  6. Step 6: Final answer
    x = 44,124.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.