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Finding the Third Proportional to 20,181 and 28,826.50

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Solution

The third proportional to 20,181 and 28,826.50 is: 41,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181 : 28,826.50 = 28,826.50 : x
  2. Step 2: Convert to fraction form
    20,181/28,826.50 = 28,826.50/x
  3. Step 3: Cross multiply
    20,181x = 28,826.50 × 28,826.50
  4. Step 4: Simplify right side
    20,181x = 830,967,102.25
  5. Step 5: Solve for x
    x = 830,967,102.25/20,181
  6. Step 6: Final answer
    x = 41,175.71

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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.