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Finding the Third Proportional to 11,019 and 16,240.50

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Solution

The third proportional to 11,019 and 16,240.50 is: 23,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019 : 16,240.50 = 16,240.50 : x
  2. Step 2: Convert to fraction form
    11,019/16,240.50 = 16,240.50/x
  3. Step 3: Cross multiply
    11,019x = 16,240.50 × 16,240.50
  4. Step 4: Simplify right side
    11,019x = 263,753,840.25
  5. Step 5: Solve for x
    x = 263,753,840.25/11,019
  6. Step 6: Final answer
    x = 23,936.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.