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Finding the Third Proportional to 35,200 and 51,863

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Solution

The third proportional to 35,200 and 51,863 is: 76,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200 : 51,863 = 51,863 : x
  2. Step 2: Convert to fraction form
    35,200/51,863 = 51,863/x
  3. Step 3: Cross multiply
    35,200x = 51,863 × 51,863
  4. Step 4: Simplify right side
    35,200x = 2,689,770,769
  5. Step 5: Solve for x
    x = 2,689,770,769/35,200
  6. Step 6: Final answer
    x = 76,413.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.