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Finding the Third Proportional to 19,277.44 and 42,245.44

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Solution

The third proportional to 19,277.44 and 42,245.44 is: 92,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277.44 : 42,245.44 = 42,245.44 : x
  2. Step 2: Convert to fraction form
    19,277.44/42,245.44 = 42,245.44/x
  3. Step 3: Cross multiply
    19,277.44x = 42,245.44 × 42,245.44
  4. Step 4: Simplify right side
    19,277.44x = 1,784,676,989.57
  5. Step 5: Solve for x
    x = 1,784,676,989.57/19,277.44
  6. Step 6: Final answer
    x = 92,578.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.