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Finding the Third Proportional to 5,946 and 14,393

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Solution

The third proportional to 5,946 and 14,393 is: 34,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 14,393 = 14,393 : x
  2. Step 2: Convert to fraction form
    5,946/14,393 = 14,393/x
  3. Step 3: Cross multiply
    5,946x = 14,393 × 14,393
  4. Step 4: Simplify right side
    5,946x = 207,158,449
  5. Step 5: Solve for x
    x = 207,158,449/5,946
  6. Step 6: Final answer
    x = 34,839.97

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.