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Finding the Third Proportional to 36,683.44 and 58,308.19

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Solution

The third proportional to 36,683.44 and 58,308.19 is: 92,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,683.44 : 58,308.19 = 58,308.19 : x
  2. Step 2: Convert to fraction form
    36,683.44/58,308.19 = 58,308.19/x
  3. Step 3: Cross multiply
    36,683.44x = 58,308.19 × 58,308.19
  4. Step 4: Simplify right side
    36,683.44x = 3,399,844,729.54
  5. Step 5: Solve for x
    x = 3,399,844,729.54/36,683.44
  6. Step 6: Final answer
    x = 92,680.65

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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.