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Finding the Third Proportional to 11,811 and 19,030.50

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Solution

The third proportional to 11,811 and 19,030.50 is: 30,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811 : 19,030.50 = 19,030.50 : x
  2. Step 2: Convert to fraction form
    11,811/19,030.50 = 19,030.50/x
  3. Step 3: Cross multiply
    11,811x = 19,030.50 × 19,030.50
  4. Step 4: Simplify right side
    11,811x = 362,159,930.25
  5. Step 5: Solve for x
    x = 362,159,930.25/11,811
  6. Step 6: Final answer
    x = 30,662.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.