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Finding the Third Proportional to 5,819 and 8,903

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Solution

The third proportional to 5,819 and 8,903 is: 13,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819 : 8,903 = 8,903 : x
  2. Step 2: Convert to fraction form
    5,819/8,903 = 8,903/x
  3. Step 3: Cross multiply
    5,819x = 8,903 × 8,903
  4. Step 4: Simplify right side
    5,819x = 79,263,409
  5. Step 5: Solve for x
    x = 79,263,409/5,819
  6. Step 6: Final answer
    x = 13,621.48

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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.