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Finding the Third Proportional to 6,998 and 14,932

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Solution

The third proportional to 6,998 and 14,932 is: 31,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 14,932 = 14,932 : x
  2. Step 2: Convert to fraction form
    6,998/14,932 = 14,932/x
  3. Step 3: Cross multiply
    6,998x = 14,932 × 14,932
  4. Step 4: Simplify right side
    6,998x = 222,964,624
  5. Step 5: Solve for x
    x = 222,964,624/6,998
  6. Step 6: Final answer
    x = 31,861.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.