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Finding the Third Proportional to 10,224 and 21,177

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Solution

The third proportional to 10,224 and 21,177 is: 43,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 21,177 = 21,177 : x
  2. Step 2: Convert to fraction form
    10,224/21,177 = 21,177/x
  3. Step 3: Cross multiply
    10,224x = 21,177 × 21,177
  4. Step 4: Simplify right side
    10,224x = 448,465,329
  5. Step 5: Solve for x
    x = 448,465,329/10,224
  6. Step 6: Final answer
    x = 43,863.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.