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Finding the Third Proportional to 4,709.39 and 9,807.33

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Solution

The third proportional to 4,709.39 and 9,807.33 is: 20,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.39 : 9,807.33 = 9,807.33 : x
  2. Step 2: Convert to fraction form
    4,709.39/9,807.33 = 9,807.33/x
  3. Step 3: Cross multiply
    4,709.39x = 9,807.33 × 9,807.33
  4. Step 4: Simplify right side
    4,709.39x = 96,183,684.95
  5. Step 5: Solve for x
    x = 96,183,684.95/4,709.39
  6. Step 6: Final answer
    x = 20,423.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.