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Finding the Third Proportional to 11,761 and 25,124

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Solution

The third proportional to 11,761 and 25,124 is: 53,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761 : 25,124 = 25,124 : x
  2. Step 2: Convert to fraction form
    11,761/25,124 = 25,124/x
  3. Step 3: Cross multiply
    11,761x = 25,124 × 25,124
  4. Step 4: Simplify right side
    11,761x = 631,215,376
  5. Step 5: Solve for x
    x = 631,215,376/11,761
  6. Step 6: Final answer
    x = 53,670.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.