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Finding the Third Proportional to 21,916 and 48,224

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Solution

The third proportional to 21,916 and 48,224 is: 106,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916 : 48,224 = 48,224 : x
  2. Step 2: Convert to fraction form
    21,916/48,224 = 48,224/x
  3. Step 3: Cross multiply
    21,916x = 48,224 × 48,224
  4. Step 4: Simplify right side
    21,916x = 2,325,554,176
  5. Step 5: Solve for x
    x = 2,325,554,176/21,916
  6. Step 6: Final answer
    x = 106,112.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.