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Finding the Third Proportional to 24,692.25 and 35,284.63

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Solution

The third proportional to 24,692.25 and 35,284.63 is: 50,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.25 : 35,284.63 = 35,284.63 : x
  2. Step 2: Convert to fraction form
    24,692.25/35,284.63 = 35,284.63/x
  3. Step 3: Cross multiply
    24,692.25x = 35,284.63 × 35,284.63
  4. Step 4: Simplify right side
    24,692.25x = 1,245,004,761.39
  5. Step 5: Solve for x
    x = 1,245,004,761.39/24,692.25
  6. Step 6: Final answer
    x = 50,420.87

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1.5x scale

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.