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Finding the Third Proportional to 13,420.69 and 19,255.22

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Solution

The third proportional to 13,420.69 and 19,255.22 is: 27,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.69 : 19,255.22 = 19,255.22 : x
  2. Step 2: Convert to fraction form
    13,420.69/19,255.22 = 19,255.22/x
  3. Step 3: Cross multiply
    13,420.69x = 19,255.22 × 19,255.22
  4. Step 4: Simplify right side
    13,420.69x = 370,763,449.11
  5. Step 5: Solve for x
    x = 370,763,449.11/13,420.69
  6. Step 6: Final answer
    x = 27,626.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.