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Finding the Third Proportional to 8,237 and 8,939

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Solution

The third proportional to 8,237 and 8,939 is: 9,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237 : 8,939 = 8,939 : x
  2. Step 2: Convert to fraction form
    8,237/8,939 = 8,939/x
  3. Step 3: Cross multiply
    8,237x = 8,939 × 8,939
  4. Step 4: Simplify right side
    8,237x = 79,905,721
  5. Step 5: Solve for x
    x = 79,905,721/8,237
  6. Step 6: Final answer
    x = 9,700.83

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.