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Finding the Third Proportional to 5,361.19 and 11,813.06

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Solution

The third proportional to 5,361.19 and 11,813.06 is: 26,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.19 : 11,813.06 = 11,813.06 : x
  2. Step 2: Convert to fraction form
    5,361.19/11,813.06 = 11,813.06/x
  3. Step 3: Cross multiply
    5,361.19x = 11,813.06 × 11,813.06
  4. Step 4: Simplify right side
    5,361.19x = 139,548,445.63
  5. Step 5: Solve for x
    x = 139,548,445.63/5,361.19
  6. Step 6: Final answer
    x = 26,029.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.