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Finding the Third Proportional to 29,696.63 and 44,393.06

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Solution

The third proportional to 29,696.63 and 44,393.06 is: 66,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.63 : 44,393.06 = 44,393.06 : x
  2. Step 2: Convert to fraction form
    29,696.63/44,393.06 = 44,393.06/x
  3. Step 3: Cross multiply
    29,696.63x = 44,393.06 × 44,393.06
  4. Step 4: Simplify right side
    29,696.63x = 1,970,743,998.13
  5. Step 5: Solve for x
    x = 1,970,743,998.13/29,696.63
  6. Step 6: Final answer
    x = 66,362.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.