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Finding the Third Proportional to 20,182.50 and 46,901.25

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Solution

The third proportional to 20,182.50 and 46,901.25 is: 108,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.50 : 46,901.25 = 46,901.25 : x
  2. Step 2: Convert to fraction form
    20,182.50/46,901.25 = 46,901.25/x
  3. Step 3: Cross multiply
    20,182.50x = 46,901.25 × 46,901.25
  4. Step 4: Simplify right side
    20,182.50x = 2,199,727,251.56
  5. Step 5: Solve for x
    x = 2,199,727,251.56/20,182.50
  6. Step 6: Final answer
    x = 108,991.81

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.