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Finding the Third Proportional to 22,726.50 and 33,077.25

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Solution

The third proportional to 22,726.50 and 33,077.25 is: 48,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.50 : 33,077.25 = 33,077.25 : x
  2. Step 2: Convert to fraction form
    22,726.50/33,077.25 = 33,077.25/x
  3. Step 3: Cross multiply
    22,726.50x = 33,077.25 × 33,077.25
  4. Step 4: Simplify right side
    22,726.50x = 1,094,104,467.56
  5. Step 5: Solve for x
    x = 1,094,104,467.56/22,726.50
  6. Step 6: Final answer
    x = 48,142.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.