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Finding the Third Proportional to 6,998 and 9,865

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Solution

The third proportional to 6,998 and 9,865 is: 13,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 9,865 = 9,865 : x
  2. Step 2: Convert to fraction form
    6,998/9,865 = 9,865/x
  3. Step 3: Cross multiply
    6,998x = 9,865 × 9,865
  4. Step 4: Simplify right side
    6,998x = 97,318,225
  5. Step 5: Solve for x
    x = 97,318,225/6,998
  6. Step 6: Final answer
    x = 13,906.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.