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Finding the Third Proportional to 4,957.88 and 7,413.19

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Solution

The third proportional to 4,957.88 and 7,413.19 is: 11,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.88 : 7,413.19 = 7,413.19 : x
  2. Step 2: Convert to fraction form
    4,957.88/7,413.19 = 7,413.19/x
  3. Step 3: Cross multiply
    4,957.88x = 7,413.19 × 7,413.19
  4. Step 4: Simplify right side
    4,957.88x = 54,955,348.91
  5. Step 5: Solve for x
    x = 54,955,348.91/4,957.88
  6. Step 6: Final answer
    x = 11,084.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.