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Finding the Third Proportional to 29,729.53 and 44,363.64

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Solution

The third proportional to 29,729.53 and 44,363.64 is: 66,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.53 : 44,363.64 = 44,363.64 : x
  2. Step 2: Convert to fraction form
    29,729.53/44,363.64 = 44,363.64/x
  3. Step 3: Cross multiply
    29,729.53x = 44,363.64 × 44,363.64
  4. Step 4: Simplify right side
    29,729.53x = 1,968,132,262.91
  5. Step 5: Solve for x
    x = 1,968,132,262.91/29,729.53
  6. Step 6: Final answer
    x = 66,201.25

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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.