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Finding the Third Proportional to 2,269 and 4,433

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Solution

The third proportional to 2,269 and 4,433 is: 8,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 4,433 = 4,433 : x
  2. Step 2: Convert to fraction form
    2,269/4,433 = 4,433/x
  3. Step 3: Cross multiply
    2,269x = 4,433 × 4,433
  4. Step 4: Simplify right side
    2,269x = 19,651,489
  5. Step 5: Solve for x
    x = 19,651,489/2,269
  6. Step 6: Final answer
    x = 8,660.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.