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Finding the Third Proportional to 15,313.22 and 20,782.41

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Solution

The third proportional to 15,313.22 and 20,782.41 is: 28,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.22 : 20,782.41 = 20,782.41 : x
  2. Step 2: Convert to fraction form
    15,313.22/20,782.41 = 20,782.41/x
  3. Step 3: Cross multiply
    15,313.22x = 20,782.41 × 20,782.41
  4. Step 4: Simplify right side
    15,313.22x = 431,908,409.54
  5. Step 5: Solve for x
    x = 431,908,409.54/15,313.22
  6. Step 6: Final answer
    x = 28,204.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.