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Finding the Third Proportional to 10,774 and 23,247

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Solution

The third proportional to 10,774 and 23,247 is: 50,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 23,247 = 23,247 : x
  2. Step 2: Convert to fraction form
    10,774/23,247 = 23,247/x
  3. Step 3: Cross multiply
    10,774x = 23,247 × 23,247
  4. Step 4: Simplify right side
    10,774x = 540,423,009
  5. Step 5: Solve for x
    x = 540,423,009/10,774
  6. Step 6: Final answer
    x = 50,159.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.