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Finding the Third Proportional to 12,382.45 and 18,632.32

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Solution

The third proportional to 12,382.45 and 18,632.32 is: 28,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.45 : 18,632.32 = 18,632.32 : x
  2. Step 2: Convert to fraction form
    12,382.45/18,632.32 = 18,632.32/x
  3. Step 3: Cross multiply
    12,382.45x = 18,632.32 × 18,632.32
  4. Step 4: Simplify right side
    12,382.45x = 347,163,360.23
  5. Step 5: Solve for x
    x = 347,163,360.23/12,382.45
  6. Step 6: Final answer
    x = 28,036.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.