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Finding the Third Proportional to 11,741 and 15,991

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Solution

The third proportional to 11,741 and 15,991 is: 21,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741 : 15,991 = 15,991 : x
  2. Step 2: Convert to fraction form
    11,741/15,991 = 15,991/x
  3. Step 3: Cross multiply
    11,741x = 15,991 × 15,991
  4. Step 4: Simplify right side
    11,741x = 255,712,081
  5. Step 5: Solve for x
    x = 255,712,081/11,741
  6. Step 6: Final answer
    x = 21,779.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.