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Finding the Third Proportional to 13,676.63 and 29,445.75

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Solution

The third proportional to 13,676.63 and 29,445.75 is: 63,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.63 : 29,445.75 = 29,445.75 : x
  2. Step 2: Convert to fraction form
    13,676.63/29,445.75 = 29,445.75/x
  3. Step 3: Cross multiply
    13,676.63x = 29,445.75 × 29,445.75
  4. Step 4: Simplify right side
    13,676.63x = 867,052,193.06
  5. Step 5: Solve for x
    x = 867,052,193.06/13,676.63
  6. Step 6: Final answer
    x = 63,396.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.