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Finding the Third Proportional to 23,786.50 and 37,041.50

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Solution

The third proportional to 23,786.50 and 37,041.50 is: 57,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.50 : 37,041.50 = 37,041.50 : x
  2. Step 2: Convert to fraction form
    23,786.50/37,041.50 = 37,041.50/x
  3. Step 3: Cross multiply
    23,786.50x = 37,041.50 × 37,041.50
  4. Step 4: Simplify right side
    23,786.50x = 1,372,072,722.25
  5. Step 5: Solve for x
    x = 1,372,072,722.25/23,786.50
  6. Step 6: Final answer
    x = 57,682.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.