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Finding the Third Proportional to 20,230 and 41,262

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Solution

The third proportional to 20,230 and 41,262 is: 84,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230 : 41,262 = 41,262 : x
  2. Step 2: Convert to fraction form
    20,230/41,262 = 41,262/x
  3. Step 3: Cross multiply
    20,230x = 41,262 × 41,262
  4. Step 4: Simplify right side
    20,230x = 1,702,552,644
  5. Step 5: Solve for x
    x = 1,702,552,644/20,230
  6. Step 6: Final answer
    x = 84,159.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.