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Finding the Third Proportional to 7,946 and 14,164

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Solution

The third proportional to 7,946 and 14,164 is: 25,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946 : 14,164 = 14,164 : x
  2. Step 2: Convert to fraction form
    7,946/14,164 = 14,164/x
  3. Step 3: Cross multiply
    7,946x = 14,164 × 14,164
  4. Step 4: Simplify right side
    7,946x = 200,618,896
  5. Step 5: Solve for x
    x = 200,618,896/7,946
  6. Step 6: Final answer
    x = 25,247.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.