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Finding the Third Proportional to 39,034.50 and 83,989.13

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Solution

The third proportional to 39,034.50 and 83,989.13 is: 180,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,034.50 : 83,989.13 = 83,989.13 : x
  2. Step 2: Convert to fraction form
    39,034.50/83,989.13 = 83,989.13/x
  3. Step 3: Cross multiply
    39,034.50x = 83,989.13 × 83,989.13
  4. Step 4: Simplify right side
    39,034.50x = 7,054,173,118.27
  5. Step 5: Solve for x
    x = 7,054,173,118.27/39,034.50
  6. Step 6: Final answer
    x = 180,716.37

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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.