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Finding the Third Proportional to 5,894 and 8,291

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Solution

The third proportional to 5,894 and 8,291 is: 11,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894 : 8,291 = 8,291 : x
  2. Step 2: Convert to fraction form
    5,894/8,291 = 8,291/x
  3. Step 3: Cross multiply
    5,894x = 8,291 × 8,291
  4. Step 4: Simplify right side
    5,894x = 68,740,681
  5. Step 5: Solve for x
    x = 68,740,681/5,894
  6. Step 6: Final answer
    x = 11,662.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.