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Finding the Third Proportional to 11,924 and 15,684

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Solution

The third proportional to 11,924 and 15,684 is: 20,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924 : 15,684 = 15,684 : x
  2. Step 2: Convert to fraction form
    11,924/15,684 = 15,684/x
  3. Step 3: Cross multiply
    11,924x = 15,684 × 15,684
  4. Step 4: Simplify right side
    11,924x = 245,987,856
  5. Step 5: Solve for x
    x = 245,987,856/11,924
  6. Step 6: Final answer
    x = 20,629.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.