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Finding the Third Proportional to 38,896.50 and 85,323

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Solution

The third proportional to 38,896.50 and 85,323 is: 187,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896.50 : 85,323 = 85,323 : x
  2. Step 2: Convert to fraction form
    38,896.50/85,323 = 85,323/x
  3. Step 3: Cross multiply
    38,896.50x = 85,323 × 85,323
  4. Step 4: Simplify right side
    38,896.50x = 7,280,014,329
  5. Step 5: Solve for x
    x = 7,280,014,329/38,896.50
  6. Step 6: Final answer
    x = 187,163.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.