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Finding the Third Proportional to 7,413.75 and 9,723.38

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Solution

The third proportional to 7,413.75 and 9,723.38 is: 12,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.75 : 9,723.38 = 9,723.38 : x
  2. Step 2: Convert to fraction form
    7,413.75/9,723.38 = 9,723.38/x
  3. Step 3: Cross multiply
    7,413.75x = 9,723.38 × 9,723.38
  4. Step 4: Simplify right side
    7,413.75x = 94,544,021.39
  5. Step 5: Solve for x
    x = 94,544,021.39/7,413.75
  6. Step 6: Final answer
    x = 12,752.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.