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Finding the Third Proportional to 22,554 and 41,703.75

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Solution

The third proportional to 22,554 and 41,703.75 is: 77,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,554 : 41,703.75 = 41,703.75 : x
  2. Step 2: Convert to fraction form
    22,554/41,703.75 = 41,703.75/x
  3. Step 3: Cross multiply
    22,554x = 41,703.75 × 41,703.75
  4. Step 4: Simplify right side
    22,554x = 1,739,202,764.06
  5. Step 5: Solve for x
    x = 1,739,202,764.06/22,554
  6. Step 6: Final answer
    x = 77,112.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.