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Finding the Third Proportional to 4,177.69 and 6,099.19

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Solution

The third proportional to 4,177.69 and 6,099.19 is: 8,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.69 : 6,099.19 = 6,099.19 : x
  2. Step 2: Convert to fraction form
    4,177.69/6,099.19 = 6,099.19/x
  3. Step 3: Cross multiply
    4,177.69x = 6,099.19 × 6,099.19
  4. Step 4: Simplify right side
    4,177.69x = 37,200,088.16
  5. Step 5: Solve for x
    x = 37,200,088.16/4,177.69
  6. Step 6: Final answer
    x = 8,904.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.