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Finding the Third Proportional to 11,931 and 25,644

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Solution

The third proportional to 11,931 and 25,644 is: 55,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931 : 25,644 = 25,644 : x
  2. Step 2: Convert to fraction form
    11,931/25,644 = 25,644/x
  3. Step 3: Cross multiply
    11,931x = 25,644 × 25,644
  4. Step 4: Simplify right side
    11,931x = 657,614,736
  5. Step 5: Solve for x
    x = 657,614,736/11,931
  6. Step 6: Final answer
    x = 55,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.