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Finding the Third Proportional to 13,676.25 and 29,883

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Solution

The third proportional to 13,676.25 and 29,883 is: 65,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.25 : 29,883 = 29,883 : x
  2. Step 2: Convert to fraction form
    13,676.25/29,883 = 29,883/x
  3. Step 3: Cross multiply
    13,676.25x = 29,883 × 29,883
  4. Step 4: Simplify right side
    13,676.25x = 892,993,689
  5. Step 5: Solve for x
    x = 892,993,689/13,676.25
  6. Step 6: Final answer
    x = 65,295.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.