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Finding the Third Proportional to 11,817 and 16,220.25

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Solution

The third proportional to 11,817 and 16,220.25 is: 22,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 16,220.25 = 16,220.25 : x
  2. Step 2: Convert to fraction form
    11,817/16,220.25 = 16,220.25/x
  3. Step 3: Cross multiply
    11,817x = 16,220.25 × 16,220.25
  4. Step 4: Simplify right side
    11,817x = 263,096,510.06
  5. Step 5: Solve for x
    x = 263,096,510.06/11,817
  6. Step 6: Final answer
    x = 22,264.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.