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Finding the Third Proportional to 5,896.50 and 8,358

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Solution

The third proportional to 5,896.50 and 8,358 is: 11,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.50 : 8,358 = 8,358 : x
  2. Step 2: Convert to fraction form
    5,896.50/8,358 = 8,358/x
  3. Step 3: Cross multiply
    5,896.50x = 8,358 × 8,358
  4. Step 4: Simplify right side
    5,896.50x = 69,856,164
  5. Step 5: Solve for x
    x = 69,856,164/5,896.50
  6. Step 6: Final answer
    x = 11,847.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.