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Finding the Third Proportional to 24,692.75 and 35,285.25

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Solution

The third proportional to 24,692.75 and 35,285.25 is: 50,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.75 : 35,285.25 = 35,285.25 : x
  2. Step 2: Convert to fraction form
    24,692.75/35,285.25 = 35,285.25/x
  3. Step 3: Cross multiply
    24,692.75x = 35,285.25 × 35,285.25
  4. Step 4: Simplify right side
    24,692.75x = 1,245,048,867.56
  5. Step 5: Solve for x
    x = 1,245,048,867.56/24,692.75
  6. Step 6: Final answer
    x = 50,421.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.