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Finding the Third Proportional to 13,419 and 17,650.50

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Solution

The third proportional to 13,419 and 17,650.50 is: 23,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 17,650.50 = 17,650.50 : x
  2. Step 2: Convert to fraction form
    13,419/17,650.50 = 17,650.50/x
  3. Step 3: Cross multiply
    13,419x = 17,650.50 × 17,650.50
  4. Step 4: Simplify right side
    13,419x = 311,540,150.25
  5. Step 5: Solve for x
    x = 311,540,150.25/13,419
  6. Step 6: Final answer
    x = 23,216.35

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.