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Finding the Third Proportional to 10,650.38 and 21,983.63

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Solution

The third proportional to 10,650.38 and 21,983.63 is: 45,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.38 : 21,983.63 = 21,983.63 : x
  2. Step 2: Convert to fraction form
    10,650.38/21,983.63 = 21,983.63/x
  3. Step 3: Cross multiply
    10,650.38x = 21,983.63 × 21,983.63
  4. Step 4: Simplify right side
    10,650.38x = 483,279,768.14
  5. Step 5: Solve for x
    x = 483,279,768.14/10,650.38
  6. Step 6: Final answer
    x = 45,376.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.