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Finding the Third Proportional to 20,167 and 29,546.50

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Solution

The third proportional to 20,167 and 29,546.50 is: 43,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167 : 29,546.50 = 29,546.50 : x
  2. Step 2: Convert to fraction form
    20,167/29,546.50 = 29,546.50/x
  3. Step 3: Cross multiply
    20,167x = 29,546.50 × 29,546.50
  4. Step 4: Simplify right side
    20,167x = 872,995,662.25
  5. Step 5: Solve for x
    x = 872,995,662.25/20,167
  6. Step 6: Final answer
    x = 43,288.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.