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Finding the Third Proportional to 21,073 and 30,831

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Solution

The third proportional to 21,073 and 30,831 is: 45,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073 : 30,831 = 30,831 : x
  2. Step 2: Convert to fraction form
    21,073/30,831 = 30,831/x
  3. Step 3: Cross multiply
    21,073x = 30,831 × 30,831
  4. Step 4: Simplify right side
    21,073x = 950,550,561
  5. Step 5: Solve for x
    x = 950,550,561/21,073
  6. Step 6: Final answer
    x = 45,107.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.