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Finding the Third Proportional to 5,446.13 and 8,366.63

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Solution

The third proportional to 5,446.13 and 8,366.63 is: 12,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.13 : 8,366.63 = 8,366.63 : x
  2. Step 2: Convert to fraction form
    5,446.13/8,366.63 = 8,366.63/x
  3. Step 3: Cross multiply
    5,446.13x = 8,366.63 × 8,366.63
  4. Step 4: Simplify right side
    5,446.13x = 70,000,413.89
  5. Step 5: Solve for x
    x = 70,000,413.89/5,446.13
  6. Step 6: Final answer
    x = 12,853.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.