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Finding the Third Proportional to 19,173.50 and 39,277

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Solution

The third proportional to 19,173.50 and 39,277 is: 80,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,173.50 : 39,277 = 39,277 : x
  2. Step 2: Convert to fraction form
    19,173.50/39,277 = 39,277/x
  3. Step 3: Cross multiply
    19,173.50x = 39,277 × 39,277
  4. Step 4: Simplify right side
    19,173.50x = 1,542,682,729
  5. Step 5: Solve for x
    x = 1,542,682,729/19,173.50
  6. Step 6: Final answer
    x = 80,459.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.