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Finding the Third Proportional to 9,496.41 and 21,983.91

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Solution

The third proportional to 9,496.41 and 21,983.91 is: 50,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.41 : 21,983.91 = 21,983.91 : x
  2. Step 2: Convert to fraction form
    9,496.41/21,983.91 = 21,983.91/x
  3. Step 3: Cross multiply
    9,496.41x = 21,983.91 × 21,983.91
  4. Step 4: Simplify right side
    9,496.41x = 483,292,134.01
  5. Step 5: Solve for x
    x = 483,292,134.01/9,496.41
  6. Step 6: Final answer
    x = 50,892.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.