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Finding the Third Proportional to 4,863.16 and 7,741.83

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Solution

The third proportional to 4,863.16 and 7,741.83 is: 12,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.16 : 7,741.83 = 7,741.83 : x
  2. Step 2: Convert to fraction form
    4,863.16/7,741.83 = 7,741.83/x
  3. Step 3: Cross multiply
    4,863.16x = 7,741.83 × 7,741.83
  4. Step 4: Simplify right side
    4,863.16x = 59,935,902.72
  5. Step 5: Solve for x
    x = 59,935,902.72/4,863.16
  6. Step 6: Final answer
    x = 12,324.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.