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Finding the Third Proportional to 18,594 and 39,964.50

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Solution

The third proportional to 18,594 and 39,964.50 is: 85,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594 : 39,964.50 = 39,964.50 : x
  2. Step 2: Convert to fraction form
    18,594/39,964.50 = 39,964.50/x
  3. Step 3: Cross multiply
    18,594x = 39,964.50 × 39,964.50
  4. Step 4: Simplify right side
    18,594x = 1,597,161,260.25
  5. Step 5: Solve for x
    x = 1,597,161,260.25/18,594
  6. Step 6: Final answer
    x = 85,896.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.