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Finding the Third Proportional to 38,982.75 and 84,187.50

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Solution

The third proportional to 38,982.75 and 84,187.50 is: 181,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982.75 : 84,187.50 = 84,187.50 : x
  2. Step 2: Convert to fraction form
    38,982.75/84,187.50 = 84,187.50/x
  3. Step 3: Cross multiply
    38,982.75x = 84,187.50 × 84,187.50
  4. Step 4: Simplify right side
    38,982.75x = 7,087,535,156.25
  5. Step 5: Solve for x
    x = 7,087,535,156.25/38,982.75
  6. Step 6: Final answer
    x = 181,812.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.