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Finding the Third Proportional to 4,020 and 9,683.25

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Solution

The third proportional to 4,020 and 9,683.25 is: 23,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020 : 9,683.25 = 9,683.25 : x
  2. Step 2: Convert to fraction form
    4,020/9,683.25 = 9,683.25/x
  3. Step 3: Cross multiply
    4,020x = 9,683.25 × 9,683.25
  4. Step 4: Simplify right side
    4,020x = 93,765,330.56
  5. Step 5: Solve for x
    x = 93,765,330.56/4,020
  6. Step 6: Final answer
    x = 23,324.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.