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Finding the Third Proportional to 30,379.75 and 41,720.25

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Solution

The third proportional to 30,379.75 and 41,720.25 is: 57,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.75 : 41,720.25 = 41,720.25 : x
  2. Step 2: Convert to fraction form
    30,379.75/41,720.25 = 41,720.25/x
  3. Step 3: Cross multiply
    30,379.75x = 41,720.25 × 41,720.25
  4. Step 4: Simplify right side
    30,379.75x = 1,740,579,260.06
  5. Step 5: Solve for x
    x = 1,740,579,260.06/30,379.75
  6. Step 6: Final answer
    x = 57,294.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.