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Finding the Third Proportional to 8,829 and 13,509

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Solution

The third proportional to 8,829 and 13,509 is: 20,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 13,509 = 13,509 : x
  2. Step 2: Convert to fraction form
    8,829/13,509 = 13,509/x
  3. Step 3: Cross multiply
    8,829x = 13,509 × 13,509
  4. Step 4: Simplify right side
    8,829x = 182,493,081
  5. Step 5: Solve for x
    x = 182,493,081/8,829
  6. Step 6: Final answer
    x = 20,669.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.