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Finding the Third Proportional to 23,971.50 and 37,523.25

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Solution

The third proportional to 23,971.50 and 37,523.25 is: 58,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.50 : 37,523.25 = 37,523.25 : x
  2. Step 2: Convert to fraction form
    23,971.50/37,523.25 = 37,523.25/x
  3. Step 3: Cross multiply
    23,971.50x = 37,523.25 × 37,523.25
  4. Step 4: Simplify right side
    23,971.50x = 1,407,994,290.56
  5. Step 5: Solve for x
    x = 1,407,994,290.56/23,971.50
  6. Step 6: Final answer
    x = 58,736.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.