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Finding the Third Proportional to 4,683.38 and 9,799.59

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Solution

The third proportional to 4,683.38 and 9,799.59 is: 20,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.38 : 9,799.59 = 9,799.59 : x
  2. Step 2: Convert to fraction form
    4,683.38/9,799.59 = 9,799.59/x
  3. Step 3: Cross multiply
    4,683.38x = 9,799.59 × 9,799.59
  4. Step 4: Simplify right side
    4,683.38x = 96,032,037.67
  5. Step 5: Solve for x
    x = 96,032,037.67/4,683.38
  6. Step 6: Final answer
    x = 20,504.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.