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Finding the Third Proportional to 22,976 and 31,536

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Solution

The third proportional to 22,976 and 31,536 is: 43,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976 : 31,536 = 31,536 : x
  2. Step 2: Convert to fraction form
    22,976/31,536 = 31,536/x
  3. Step 3: Cross multiply
    22,976x = 31,536 × 31,536
  4. Step 4: Simplify right side
    22,976x = 994,519,296
  5. Step 5: Solve for x
    x = 994,519,296/22,976
  6. Step 6: Final answer
    x = 43,285.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.