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Finding the Third Proportional to 13,676.06 and 21,627.84

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Solution

The third proportional to 13,676.06 and 21,627.84 is: 34,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.06 : 21,627.84 = 21,627.84 : x
  2. Step 2: Convert to fraction form
    13,676.06/21,627.84 = 21,627.84/x
  3. Step 3: Cross multiply
    13,676.06x = 21,627.84 × 21,627.84
  4. Step 4: Simplify right side
    13,676.06x = 467,763,625.27
  5. Step 5: Solve for x
    x = 467,763,625.27/13,676.06
  6. Step 6: Final answer
    x = 34,203.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.