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Finding the Third Proportional to 18,171 and 26,662.50

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Solution

The third proportional to 18,171 and 26,662.50 is: 39,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171 : 26,662.50 = 26,662.50 : x
  2. Step 2: Convert to fraction form
    18,171/26,662.50 = 26,662.50/x
  3. Step 3: Cross multiply
    18,171x = 26,662.50 × 26,662.50
  4. Step 4: Simplify right side
    18,171x = 710,888,906.25
  5. Step 5: Solve for x
    x = 710,888,906.25/18,171
  6. Step 6: Final answer
    x = 39,122.17

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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.