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Finding the Third Proportional to 18,139.50 and 21,379.50

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Solution

The third proportional to 18,139.50 and 21,379.50 is: 25,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,139.50 : 21,379.50 = 21,379.50 : x
  2. Step 2: Convert to fraction form
    18,139.50/21,379.50 = 21,379.50/x
  3. Step 3: Cross multiply
    18,139.50x = 21,379.50 × 21,379.50
  4. Step 4: Simplify right side
    18,139.50x = 457,083,020.25
  5. Step 5: Solve for x
    x = 457,083,020.25/18,139.50
  6. Step 6: Final answer
    x = 25,198.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.