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Finding the Third Proportional to 22,976 and 30,247

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Solution

The third proportional to 22,976 and 30,247 is: 39,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976 : 30,247 = 30,247 : x
  2. Step 2: Convert to fraction form
    22,976/30,247 = 30,247/x
  3. Step 3: Cross multiply
    22,976x = 30,247 × 30,247
  4. Step 4: Simplify right side
    22,976x = 914,881,009
  5. Step 5: Solve for x
    x = 914,881,009/22,976
  6. Step 6: Final answer
    x = 39,818.99

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.