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Finding the Third Proportional to 18,576 and 26,185.50

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Solution

The third proportional to 18,576 and 26,185.50 is: 36,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 26,185.50 = 26,185.50 : x
  2. Step 2: Convert to fraction form
    18,576/26,185.50 = 26,185.50/x
  3. Step 3: Cross multiply
    18,576x = 26,185.50 × 26,185.50
  4. Step 4: Simplify right side
    18,576x = 685,680,410.25
  5. Step 5: Solve for x
    x = 685,680,410.25/18,576
  6. Step 6: Final answer
    x = 36,912.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.