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Finding the Third Proportional to 7,786.13 and 10,983.94

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Solution

The third proportional to 7,786.13 and 10,983.94 is: 15,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 10,983.94 = 10,983.94 : x
  2. Step 2: Convert to fraction form
    7,786.13/10,983.94 = 10,983.94/x
  3. Step 3: Cross multiply
    7,786.13x = 10,983.94 × 10,983.94
  4. Step 4: Simplify right side
    7,786.13x = 120,646,883.00
  5. Step 5: Solve for x
    x = 120,646,883.00/7,786.13
  6. Step 6: Final answer
    x = 15,495.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.