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Finding the Third Proportional to 11,741 and 25,659

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Solution

The third proportional to 11,741 and 25,659 is: 56,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741 : 25,659 = 25,659 : x
  2. Step 2: Convert to fraction form
    11,741/25,659 = 25,659/x
  3. Step 3: Cross multiply
    11,741x = 25,659 × 25,659
  4. Step 4: Simplify right side
    11,741x = 658,384,281
  5. Step 5: Solve for x
    x = 658,384,281/11,741
  6. Step 6: Final answer
    x = 56,075.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.