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Finding the Third Proportional to 11,677 and 24,995

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Solution

The third proportional to 11,677 and 24,995 is: 53,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677 : 24,995 = 24,995 : x
  2. Step 2: Convert to fraction form
    11,677/24,995 = 24,995/x
  3. Step 3: Cross multiply
    11,677x = 24,995 × 24,995
  4. Step 4: Simplify right side
    11,677x = 624,750,025
  5. Step 5: Solve for x
    x = 624,750,025/11,677
  6. Step 6: Final answer
    x = 53,502.61

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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.