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Finding the Third Proportional to 24,696 and 51,036

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Solution

The third proportional to 24,696 and 51,036 is: 105,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696 : 51,036 = 51,036 : x
  2. Step 2: Convert to fraction form
    24,696/51,036 = 51,036/x
  3. Step 3: Cross multiply
    24,696x = 51,036 × 51,036
  4. Step 4: Simplify right side
    24,696x = 2,604,673,296
  5. Step 5: Solve for x
    x = 2,604,673,296/24,696
  6. Step 6: Final answer
    x = 105,469.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.