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Finding the Third Proportional to 22,578.75 and 30,162.38

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Solution

The third proportional to 22,578.75 and 30,162.38 is: 40,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.75 : 30,162.38 = 30,162.38 : x
  2. Step 2: Convert to fraction form
    22,578.75/30,162.38 = 30,162.38/x
  3. Step 3: Cross multiply
    22,578.75x = 30,162.38 × 30,162.38
  4. Step 4: Simplify right side
    22,578.75x = 909,768,865.64
  5. Step 5: Solve for x
    x = 909,768,865.64/22,578.75
  6. Step 6: Final answer
    x = 40,293.15

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.