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Finding the Third Proportional to 10,494 and 24,268

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Solution

The third proportional to 10,494 and 24,268 is: 56,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 24,268 = 24,268 : x
  2. Step 2: Convert to fraction form
    10,494/24,268 = 24,268/x
  3. Step 3: Cross multiply
    10,494x = 24,268 × 24,268
  4. Step 4: Simplify right side
    10,494x = 588,935,824
  5. Step 5: Solve for x
    x = 588,935,824/10,494
  6. Step 6: Final answer
    x = 56,121.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.