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Finding the Third Proportional to 20,182.50 and 28,383.75

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Solution

The third proportional to 20,182.50 and 28,383.75 is: 39,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.50 : 28,383.75 = 28,383.75 : x
  2. Step 2: Convert to fraction form
    20,182.50/28,383.75 = 28,383.75/x
  3. Step 3: Cross multiply
    20,182.50x = 28,383.75 × 28,383.75
  4. Step 4: Simplify right side
    20,182.50x = 805,637,264.06
  5. Step 5: Solve for x
    x = 805,637,264.06/20,182.50
  6. Step 6: Final answer
    x = 39,917.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.