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Finding the Third Proportional to 5,828 and 9,894

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Solution

The third proportional to 5,828 and 9,894 is: 16,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 9,894 = 9,894 : x
  2. Step 2: Convert to fraction form
    5,828/9,894 = 9,894/x
  3. Step 3: Cross multiply
    5,828x = 9,894 × 9,894
  4. Step 4: Simplify right side
    5,828x = 97,891,236
  5. Step 5: Solve for x
    x = 97,891,236/5,828
  6. Step 6: Final answer
    x = 16,796.71

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.