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Finding the Third Proportional to 11,546 and 15,674

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Solution

The third proportional to 11,546 and 15,674 is: 21,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546 : 15,674 = 15,674 : x
  2. Step 2: Convert to fraction form
    11,546/15,674 = 15,674/x
  3. Step 3: Cross multiply
    11,546x = 15,674 × 15,674
  4. Step 4: Simplify right side
    11,546x = 245,674,276
  5. Step 5: Solve for x
    x = 245,674,276/11,546
  6. Step 6: Final answer
    x = 21,277.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.