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Finding the Third Proportional to 19,305 and 39,163.50

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Solution

The third proportional to 19,305 and 39,163.50 is: 79,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 39,163.50 = 39,163.50 : x
  2. Step 2: Convert to fraction form
    19,305/39,163.50 = 39,163.50/x
  3. Step 3: Cross multiply
    19,305x = 39,163.50 × 39,163.50
  4. Step 4: Simplify right side
    19,305x = 1,533,779,732.25
  5. Step 5: Solve for x
    x = 1,533,779,732.25/19,305
  6. Step 6: Final answer
    x = 79,449.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.