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Finding the Third Proportional to 9,590 and 11,174

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Solution

The third proportional to 9,590 and 11,174 is: 13,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590 : 11,174 = 11,174 : x
  2. Step 2: Convert to fraction form
    9,590/11,174 = 11,174/x
  3. Step 3: Cross multiply
    9,590x = 11,174 × 11,174
  4. Step 4: Simplify right side
    9,590x = 124,858,276
  5. Step 5: Solve for x
    x = 124,858,276/9,590
  6. Step 6: Final answer
    x = 13,019.63

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.