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Finding the Third Proportional to 5,288.45 and 11,614.94

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Solution

The third proportional to 5,288.45 and 11,614.94 is: 25,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.45 : 11,614.94 = 11,614.94 : x
  2. Step 2: Convert to fraction form
    5,288.45/11,614.94 = 11,614.94/x
  3. Step 3: Cross multiply
    5,288.45x = 11,614.94 × 11,614.94
  4. Step 4: Simplify right side
    5,288.45x = 134,906,767.46
  5. Step 5: Solve for x
    x = 134,906,767.46/5,288.45
  6. Step 6: Final answer
    x = 25,509.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.