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Finding the Third Proportional to 5,998.50 and 13,163.06

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Solution

The third proportional to 5,998.50 and 13,163.06 is: 28,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.50 : 13,163.06 = 13,163.06 : x
  2. Step 2: Convert to fraction form
    5,998.50/13,163.06 = 13,163.06/x
  3. Step 3: Cross multiply
    5,998.50x = 13,163.06 × 13,163.06
  4. Step 4: Simplify right side
    5,998.50x = 173,266,214.38
  5. Step 5: Solve for x
    x = 173,266,214.38/5,998.50
  6. Step 6: Final answer
    x = 28,884.92

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1.5x scale

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.