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Finding the Third Proportional to 18,571.50 and 27,146

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Solution

The third proportional to 18,571.50 and 27,146 is: 39,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.50 : 27,146 = 27,146 : x
  2. Step 2: Convert to fraction form
    18,571.50/27,146 = 27,146/x
  3. Step 3: Cross multiply
    18,571.50x = 27,146 × 27,146
  4. Step 4: Simplify right side
    18,571.50x = 736,905,316
  5. Step 5: Solve for x
    x = 736,905,316/18,571.50
  6. Step 6: Final answer
    x = 39,679.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.