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Finding the Third Proportional to 6,997 and 14,798

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Solution

The third proportional to 6,997 and 14,798 is: 31,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 14,798 = 14,798 : x
  2. Step 2: Convert to fraction form
    6,997/14,798 = 14,798/x
  3. Step 3: Cross multiply
    6,997x = 14,798 × 14,798
  4. Step 4: Simplify right side
    6,997x = 218,980,804
  5. Step 5: Solve for x
    x = 218,980,804/6,997
  6. Step 6: Final answer
    x = 31,296.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.