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Finding the Third Proportional to 18,028.25 and 24,733.50

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Solution

The third proportional to 18,028.25 and 24,733.50 is: 33,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,028.25 : 24,733.50 = 24,733.50 : x
  2. Step 2: Convert to fraction form
    18,028.25/24,733.50 = 24,733.50/x
  3. Step 3: Cross multiply
    18,028.25x = 24,733.50 × 24,733.50
  4. Step 4: Simplify right side
    18,028.25x = 611,746,022.25
  5. Step 5: Solve for x
    x = 611,746,022.25/18,028.25
  6. Step 6: Final answer
    x = 33,932.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.