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Finding the Third Proportional to 9,703 and 20,951

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Solution

The third proportional to 9,703 and 20,951 is: 45,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703 : 20,951 = 20,951 : x
  2. Step 2: Convert to fraction form
    9,703/20,951 = 20,951/x
  3. Step 3: Cross multiply
    9,703x = 20,951 × 20,951
  4. Step 4: Simplify right side
    9,703x = 438,944,401
  5. Step 5: Solve for x
    x = 438,944,401/9,703
  6. Step 6: Final answer
    x = 45,238.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.