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Finding the Third Proportional to 5,128.31 and 10,413.56

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Solution

The third proportional to 5,128.31 and 10,413.56 is: 21,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.31 : 10,413.56 = 10,413.56 : x
  2. Step 2: Convert to fraction form
    5,128.31/10,413.56 = 10,413.56/x
  3. Step 3: Cross multiply
    5,128.31x = 10,413.56 × 10,413.56
  4. Step 4: Simplify right side
    5,128.31x = 108,442,283.94
  5. Step 5: Solve for x
    x = 108,442,283.94/5,128.31
  6. Step 6: Final answer
    x = 21,145.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.