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Finding the Third Proportional to 24,108 and 49,764

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Solution

The third proportional to 24,108 and 49,764 is: 102,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108 : 49,764 = 49,764 : x
  2. Step 2: Convert to fraction form
    24,108/49,764 = 49,764/x
  3. Step 3: Cross multiply
    24,108x = 49,764 × 49,764
  4. Step 4: Simplify right side
    24,108x = 2,476,455,696
  5. Step 5: Solve for x
    x = 2,476,455,696/24,108
  6. Step 6: Final answer
    x = 102,723.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.