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Finding the Third Proportional to 6,629.50 and 13,898

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Solution

The third proportional to 6,629.50 and 13,898 is: 29,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.50 : 13,898 = 13,898 : x
  2. Step 2: Convert to fraction form
    6,629.50/13,898 = 13,898/x
  3. Step 3: Cross multiply
    6,629.50x = 13,898 × 13,898
  4. Step 4: Simplify right side
    6,629.50x = 193,154,404
  5. Step 5: Solve for x
    x = 193,154,404/6,629.50
  6. Step 6: Final answer
    x = 29,135.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.