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Finding the Third Proportional to 13,406.50 and 19,951

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Solution

The third proportional to 13,406.50 and 19,951 is: 29,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.50 : 19,951 = 19,951 : x
  2. Step 2: Convert to fraction form
    13,406.50/19,951 = 19,951/x
  3. Step 3: Cross multiply
    13,406.50x = 19,951 × 19,951
  4. Step 4: Simplify right side
    13,406.50x = 398,042,401
  5. Step 5: Solve for x
    x = 398,042,401/13,406.50
  6. Step 6: Final answer
    x = 29,690.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.