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Finding the Third Proportional to 6,827 and 14,925

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Solution

The third proportional to 6,827 and 14,925 is: 32,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827 : 14,925 = 14,925 : x
  2. Step 2: Convert to fraction form
    6,827/14,925 = 14,925/x
  3. Step 3: Cross multiply
    6,827x = 14,925 × 14,925
  4. Step 4: Simplify right side
    6,827x = 222,755,625
  5. Step 5: Solve for x
    x = 222,755,625/6,827
  6. Step 6: Final answer
    x = 32,628.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.