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Finding the Third Proportional to 6,247 and 9,961

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Solution

The third proportional to 6,247 and 9,961 is: 15,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247 : 9,961 = 9,961 : x
  2. Step 2: Convert to fraction form
    6,247/9,961 = 9,961/x
  3. Step 3: Cross multiply
    6,247x = 9,961 × 9,961
  4. Step 4: Simplify right side
    6,247x = 99,221,521
  5. Step 5: Solve for x
    x = 99,221,521/6,247
  6. Step 6: Final answer
    x = 15,883.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.