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Finding the Third Proportional to 11,526 and 16,809

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Solution

The third proportional to 11,526 and 16,809 is: 24,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526 : 16,809 = 16,809 : x
  2. Step 2: Convert to fraction form
    11,526/16,809 = 16,809/x
  3. Step 3: Cross multiply
    11,526x = 16,809 × 16,809
  4. Step 4: Simplify right side
    11,526x = 282,542,481
  5. Step 5: Solve for x
    x = 282,542,481/11,526
  6. Step 6: Final answer
    x = 24,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.