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Finding the Third Proportional to 19,500 and 39,921

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Solution

The third proportional to 19,500 and 39,921 is: 81,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500 : 39,921 = 39,921 : x
  2. Step 2: Convert to fraction form
    19,500/39,921 = 39,921/x
  3. Step 3: Cross multiply
    19,500x = 39,921 × 39,921
  4. Step 4: Simplify right side
    19,500x = 1,593,686,241
  5. Step 5: Solve for x
    x = 1,593,686,241/19,500
  6. Step 6: Final answer
    x = 81,727.50

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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.