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Finding the Third Proportional to 23,080.50 and 37,684.75

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Solution

The third proportional to 23,080.50 and 37,684.75 is: 61,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.50 : 37,684.75 = 37,684.75 : x
  2. Step 2: Convert to fraction form
    23,080.50/37,684.75 = 37,684.75/x
  3. Step 3: Cross multiply
    23,080.50x = 37,684.75 × 37,684.75
  4. Step 4: Simplify right side
    23,080.50x = 1,420,140,382.56
  5. Step 5: Solve for x
    x = 1,420,140,382.56/23,080.50
  6. Step 6: Final answer
    x = 61,529.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.