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Finding the Third Proportional to 9,036 and 19,050

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Solution

The third proportional to 9,036 and 19,050 is: 40,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036 : 19,050 = 19,050 : x
  2. Step 2: Convert to fraction form
    9,036/19,050 = 19,050/x
  3. Step 3: Cross multiply
    9,036x = 19,050 × 19,050
  4. Step 4: Simplify right side
    9,036x = 362,902,500
  5. Step 5: Solve for x
    x = 362,902,500/9,036
  6. Step 6: Final answer
    x = 40,161.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.