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Finding the Third Proportional to 39,020 and 83,958

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Solution

The third proportional to 39,020 and 83,958 is: 180,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,020 : 83,958 = 83,958 : x
  2. Step 2: Convert to fraction form
    39,020/83,958 = 83,958/x
  3. Step 3: Cross multiply
    39,020x = 83,958 × 83,958
  4. Step 4: Simplify right side
    39,020x = 7,048,945,764
  5. Step 5: Solve for x
    x = 7,048,945,764/39,020
  6. Step 6: Final answer
    x = 180,649.56

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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.