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Finding the Third Proportional to 5,787 and 8,270

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Solution

The third proportional to 5,787 and 8,270 is: 11,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 8,270 = 8,270 : x
  2. Step 2: Convert to fraction form
    5,787/8,270 = 8,270/x
  3. Step 3: Cross multiply
    5,787x = 8,270 × 8,270
  4. Step 4: Simplify right side
    5,787x = 68,392,900
  5. Step 5: Solve for x
    x = 68,392,900/5,787
  6. Step 6: Final answer
    x = 11,818.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.