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Finding the Third Proportional to 13,020.75 and 20,071.55

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Solution

The third proportional to 13,020.75 and 20,071.55 is: 30,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 20,071.55 = 20,071.55 : x
  2. Step 2: Convert to fraction form
    13,020.75/20,071.55 = 20,071.55/x
  3. Step 3: Cross multiply
    13,020.75x = 20,071.55 × 20,071.55
  4. Step 4: Simplify right side
    13,020.75x = 402,866,993.96
  5. Step 5: Solve for x
    x = 402,866,993.96/13,020.75
  6. Step 6: Final answer
    x = 30,940.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.