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Finding the Third Proportional to 12,024 and 22,212

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Solution

The third proportional to 12,024 and 22,212 is: 41,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 22,212 = 22,212 : x
  2. Step 2: Convert to fraction form
    12,024/22,212 = 22,212/x
  3. Step 3: Cross multiply
    12,024x = 22,212 × 22,212
  4. Step 4: Simplify right side
    12,024x = 493,372,944
  5. Step 5: Solve for x
    x = 493,372,944/12,024
  6. Step 6: Final answer
    x = 41,032.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.