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Finding the Third Proportional to 18,828 and 39,598.50

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Solution

The third proportional to 18,828 and 39,598.50 is: 83,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828 : 39,598.50 = 39,598.50 : x
  2. Step 2: Convert to fraction form
    18,828/39,598.50 = 39,598.50/x
  3. Step 3: Cross multiply
    18,828x = 39,598.50 × 39,598.50
  4. Step 4: Simplify right side
    18,828x = 1,568,041,202.25
  5. Step 5: Solve for x
    x = 1,568,041,202.25/18,828
  6. Step 6: Final answer
    x = 83,282.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.