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Finding the Third Proportional to 13,323.23 and 28,696.78

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Solution

The third proportional to 13,323.23 and 28,696.78 is: 61,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.23 : 28,696.78 = 28,696.78 : x
  2. Step 2: Convert to fraction form
    13,323.23/28,696.78 = 28,696.78/x
  3. Step 3: Cross multiply
    13,323.23x = 28,696.78 × 28,696.78
  4. Step 4: Simplify right side
    13,323.23x = 823,505,254.11
  5. Step 5: Solve for x
    x = 823,505,254.11/13,323.23
  6. Step 6: Final answer
    x = 61,809.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.