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Finding the Third Proportional to 7,586 and 11,774

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Solution

The third proportional to 7,586 and 11,774 is: 18,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 11,774 = 11,774 : x
  2. Step 2: Convert to fraction form
    7,586/11,774 = 11,774/x
  3. Step 3: Cross multiply
    7,586x = 11,774 × 11,774
  4. Step 4: Simplify right side
    7,586x = 138,627,076
  5. Step 5: Solve for x
    x = 138,627,076/7,586
  6. Step 6: Final answer
    x = 18,274.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.