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Finding the Third Proportional to 10,774 and 16,239

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Solution

The third proportional to 10,774 and 16,239 is: 24,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 16,239 = 16,239 : x
  2. Step 2: Convert to fraction form
    10,774/16,239 = 16,239/x
  3. Step 3: Cross multiply
    10,774x = 16,239 × 16,239
  4. Step 4: Simplify right side
    10,774x = 263,705,121
  5. Step 5: Solve for x
    x = 263,705,121/10,774
  6. Step 6: Final answer
    x = 24,476.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.