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Finding the Third Proportional to 37,692.75 and 79,260

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Solution

The third proportional to 37,692.75 and 79,260 is: 166,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,692.75 : 79,260 = 79,260 : x
  2. Step 2: Convert to fraction form
    37,692.75/79,260 = 79,260/x
  3. Step 3: Cross multiply
    37,692.75x = 79,260 × 79,260
  4. Step 4: Simplify right side
    37,692.75x = 6,282,147,600
  5. Step 5: Solve for x
    x = 6,282,147,600/37,692.75
  6. Step 6: Final answer
    x = 166,667.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.