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Finding the Third Proportional to 13,019.48 and 23,271.05

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Solution

The third proportional to 13,019.48 and 23,271.05 is: 41,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.48 : 23,271.05 = 23,271.05 : x
  2. Step 2: Convert to fraction form
    13,019.48/23,271.05 = 23,271.05/x
  3. Step 3: Cross multiply
    13,019.48x = 23,271.05 × 23,271.05
  4. Step 4: Simplify right side
    13,019.48x = 541,541,622.66
  5. Step 5: Solve for x
    x = 541,541,622.66/13,019.48
  6. Step 6: Final answer
    x = 41,594.71

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.