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Finding the Third Proportional to 18,230 and 28,166

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Solution

The third proportional to 18,230 and 28,166 is: 43,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230 : 28,166 = 28,166 : x
  2. Step 2: Convert to fraction form
    18,230/28,166 = 28,166/x
  3. Step 3: Cross multiply
    18,230x = 28,166 × 28,166
  4. Step 4: Simplify right side
    18,230x = 793,323,556
  5. Step 5: Solve for x
    x = 793,323,556/18,230
  6. Step 6: Final answer
    x = 43,517.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.