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Finding the Third Proportional to 8,586 and 12,902.63

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Solution

The third proportional to 8,586 and 12,902.63 is: 19,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 12,902.63 = 12,902.63 : x
  2. Step 2: Convert to fraction form
    8,586/12,902.63 = 12,902.63/x
  3. Step 3: Cross multiply
    8,586x = 12,902.63 × 12,902.63
  4. Step 4: Simplify right side
    8,586x = 166,477,731.89
  5. Step 5: Solve for x
    x = 166,477,731.89/8,586
  6. Step 6: Final answer
    x = 19,389.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.