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Finding the Third Proportional to 24,098 and 51,268

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Solution

The third proportional to 24,098 and 51,268 is: 109,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098 : 51,268 = 51,268 : x
  2. Step 2: Convert to fraction form
    24,098/51,268 = 51,268/x
  3. Step 3: Cross multiply
    24,098x = 51,268 × 51,268
  4. Step 4: Simplify right side
    24,098x = 2,628,407,824
  5. Step 5: Solve for x
    x = 2,628,407,824/24,098
  6. Step 6: Final answer
    x = 109,071.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.