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Finding the Third Proportional to 20,026 and 30,471

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Solution

The third proportional to 20,026 and 30,471 is: 46,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026 : 30,471 = 30,471 : x
  2. Step 2: Convert to fraction form
    20,026/30,471 = 30,471/x
  3. Step 3: Cross multiply
    20,026x = 30,471 × 30,471
  4. Step 4: Simplify right side
    20,026x = 928,481,841
  5. Step 5: Solve for x
    x = 928,481,841/20,026
  6. Step 6: Final answer
    x = 46,363.82

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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.