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Finding the Third Proportional to 4,767.19 and 7,413.19

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Solution

The third proportional to 4,767.19 and 7,413.19 is: 11,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.19 : 7,413.19 = 7,413.19 : x
  2. Step 2: Convert to fraction form
    4,767.19/7,413.19 = 7,413.19/x
  3. Step 3: Cross multiply
    4,767.19x = 7,413.19 × 7,413.19
  4. Step 4: Simplify right side
    4,767.19x = 54,955,348.91
  5. Step 5: Solve for x
    x = 54,955,348.91/4,767.19
  6. Step 6: Final answer
    x = 11,527.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.