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Finding the Third Proportional to 5,302.13 and 7,413.19

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Solution

The third proportional to 5,302.13 and 7,413.19 is: 10,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.13 : 7,413.19 = 7,413.19 : x
  2. Step 2: Convert to fraction form
    5,302.13/7,413.19 = 7,413.19/x
  3. Step 3: Cross multiply
    5,302.13x = 7,413.19 × 7,413.19
  4. Step 4: Simplify right side
    5,302.13x = 54,955,348.91
  5. Step 5: Solve for x
    x = 54,955,348.91/5,302.13
  6. Step 6: Final answer
    x = 10,364.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.