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Finding the Third Proportional to 21,132 and 43,224

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Solution

The third proportional to 21,132 and 43,224 is: 88,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132 : 43,224 = 43,224 : x
  2. Step 2: Convert to fraction form
    21,132/43,224 = 43,224/x
  3. Step 3: Cross multiply
    21,132x = 43,224 × 43,224
  4. Step 4: Simplify right side
    21,132x = 1,868,314,176
  5. Step 5: Solve for x
    x = 1,868,314,176/21,132
  6. Step 6: Final answer
    x = 88,411.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.