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Finding the Third Proportional to 29,883.30 and 44,748.07

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Solution

The third proportional to 29,883.30 and 44,748.07 is: 67,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,883.30 : 44,748.07 = 44,748.07 : x
  2. Step 2: Convert to fraction form
    29,883.30/44,748.07 = 44,748.07/x
  3. Step 3: Cross multiply
    29,883.30x = 44,748.07 × 44,748.07
  4. Step 4: Simplify right side
    29,883.30x = 2,002,389,796.69
  5. Step 5: Solve for x
    x = 2,002,389,796.69/29,883.30
  6. Step 6: Final answer
    x = 67,006.97

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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.