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Finding the Third Proportional to 5,188 and 11,330

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Solution

The third proportional to 5,188 and 11,330 is: 24,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 11,330 = 11,330 : x
  2. Step 2: Convert to fraction form
    5,188/11,330 = 11,330/x
  3. Step 3: Cross multiply
    5,188x = 11,330 × 11,330
  4. Step 4: Simplify right side
    5,188x = 128,368,900
  5. Step 5: Solve for x
    x = 128,368,900/5,188
  6. Step 6: Final answer
    x = 24,743.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.