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Finding the Third Proportional to 13,931 and 22,869

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Solution

The third proportional to 13,931 and 22,869 is: 37,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931 : 22,869 = 22,869 : x
  2. Step 2: Convert to fraction form
    13,931/22,869 = 22,869/x
  3. Step 3: Cross multiply
    13,931x = 22,869 × 22,869
  4. Step 4: Simplify right side
    13,931x = 522,991,161
  5. Step 5: Solve for x
    x = 522,991,161/13,931
  6. Step 6: Final answer
    x = 37,541.54

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.