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Finding the Third Proportional to 19,149.75 and 29,129.63

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Solution

The third proportional to 19,149.75 and 29,129.63 is: 44,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,149.75 : 29,129.63 = 29,129.63 : x
  2. Step 2: Convert to fraction form
    19,149.75/29,129.63 = 29,129.63/x
  3. Step 3: Cross multiply
    19,149.75x = 29,129.63 × 29,129.63
  4. Step 4: Simplify right side
    19,149.75x = 848,535,052.64
  5. Step 5: Solve for x
    x = 848,535,052.64/19,149.75
  6. Step 6: Final answer
    x = 44,310.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.