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Finding the Third Proportional to 22,015.23 and 33,496.98

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Solution

The third proportional to 22,015.23 and 33,496.98 is: 50,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015.23 : 33,496.98 = 33,496.98 : x
  2. Step 2: Convert to fraction form
    22,015.23/33,496.98 = 33,496.98/x
  3. Step 3: Cross multiply
    22,015.23x = 33,496.98 × 33,496.98
  4. Step 4: Simplify right side
    22,015.23x = 1,122,047,700.52
  5. Step 5: Solve for x
    x = 1,122,047,700.52/22,015.23
  6. Step 6: Final answer
    x = 50,966.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.