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Finding the Third Proportional to 4,898.44 and 7,142.44

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Solution

The third proportional to 4,898.44 and 7,142.44 is: 10,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.44 : 7,142.44 = 7,142.44 : x
  2. Step 2: Convert to fraction form
    4,898.44/7,142.44 = 7,142.44/x
  3. Step 3: Cross multiply
    4,898.44x = 7,142.44 × 7,142.44
  4. Step 4: Simplify right side
    4,898.44x = 51,014,413.44
  5. Step 5: Solve for x
    x = 51,014,413.44/4,898.44
  6. Step 6: Final answer
    x = 10,414.43

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Why These Related Problems?

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