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Finding the Third Proportional to 19,382.63 and 40,405.50

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Solution

The third proportional to 19,382.63 and 40,405.50 is: 84,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.63 : 40,405.50 = 40,405.50 : x
  2. Step 2: Convert to fraction form
    19,382.63/40,405.50 = 40,405.50/x
  3. Step 3: Cross multiply
    19,382.63x = 40,405.50 × 40,405.50
  4. Step 4: Simplify right side
    19,382.63x = 1,632,604,430.25
  5. Step 5: Solve for x
    x = 1,632,604,430.25/19,382.63
  6. Step 6: Final answer
    x = 84,230.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.