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Finding the Third Proportional to 9,038 and 20,831

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Solution

The third proportional to 9,038 and 20,831 is: 48,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038 : 20,831 = 20,831 : x
  2. Step 2: Convert to fraction form
    9,038/20,831 = 20,831/x
  3. Step 3: Cross multiply
    9,038x = 20,831 × 20,831
  4. Step 4: Simplify right side
    9,038x = 433,930,561
  5. Step 5: Solve for x
    x = 433,930,561/9,038
  6. Step 6: Final answer
    x = 48,011.79

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.