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Finding the Third Proportional to 22,939.88 and 33,983.44

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Solution

The third proportional to 22,939.88 and 33,983.44 is: 50,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939.88 : 33,983.44 = 33,983.44 : x
  2. Step 2: Convert to fraction form
    22,939.88/33,983.44 = 33,983.44/x
  3. Step 3: Cross multiply
    22,939.88x = 33,983.44 × 33,983.44
  4. Step 4: Simplify right side
    22,939.88x = 1,154,874,024.32
  5. Step 5: Solve for x
    x = 1,154,874,024.32/22,939.88
  6. Step 6: Final answer
    x = 50,343.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.