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Finding the Third Proportional to 20,413 and 44,471

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Solution

The third proportional to 20,413 and 44,471 is: 96,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 44,471 = 44,471 : x
  2. Step 2: Convert to fraction form
    20,413/44,471 = 44,471/x
  3. Step 3: Cross multiply
    20,413x = 44,471 × 44,471
  4. Step 4: Simplify right side
    20,413x = 1,977,669,841
  5. Step 5: Solve for x
    x = 1,977,669,841/20,413
  6. Step 6: Final answer
    x = 96,882.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.