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Finding the Third Proportional to 11,647.13 and 16,282.69

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Solution

The third proportional to 11,647.13 and 16,282.69 is: 22,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.13 : 16,282.69 = 16,282.69 : x
  2. Step 2: Convert to fraction form
    11,647.13/16,282.69 = 16,282.69/x
  3. Step 3: Cross multiply
    11,647.13x = 16,282.69 × 16,282.69
  4. Step 4: Simplify right side
    11,647.13x = 265,125,912.22
  5. Step 5: Solve for x
    x = 265,125,912.22/11,647.13
  6. Step 6: Final answer
    x = 22,763.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.