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Finding the Third Proportional to 5,961 and 11,409

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Solution

The third proportional to 5,961 and 11,409 is: 21,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961 : 11,409 = 11,409 : x
  2. Step 2: Convert to fraction form
    5,961/11,409 = 11,409/x
  3. Step 3: Cross multiply
    5,961x = 11,409 × 11,409
  4. Step 4: Simplify right side
    5,961x = 130,165,281
  5. Step 5: Solve for x
    x = 130,165,281/5,961
  6. Step 6: Final answer
    x = 21,836.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.