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Finding the Third Proportional to 10,976 and 23,707

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Solution

The third proportional to 10,976 and 23,707 is: 51,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 23,707 = 23,707 : x
  2. Step 2: Convert to fraction form
    10,976/23,707 = 23,707/x
  3. Step 3: Cross multiply
    10,976x = 23,707 × 23,707
  4. Step 4: Simplify right side
    10,976x = 562,021,849
  5. Step 5: Solve for x
    x = 562,021,849/10,976
  6. Step 6: Final answer
    x = 51,204.61

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