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Finding the Third Proportional to 13,149.75 and 18,077.63

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Solution

The third proportional to 13,149.75 and 18,077.63 is: 24,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.75 : 18,077.63 = 18,077.63 : x
  2. Step 2: Convert to fraction form
    13,149.75/18,077.63 = 18,077.63/x
  3. Step 3: Cross multiply
    13,149.75x = 18,077.63 × 18,077.63
  4. Step 4: Simplify right side
    13,149.75x = 326,800,525.64
  5. Step 5: Solve for x
    x = 326,800,525.64/13,149.75
  6. Step 6: Final answer
    x = 24,852.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.