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Finding the Third Proportional to 21,536 and 48,112

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Solution

The third proportional to 21,536 and 48,112 is: 107,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536 : 48,112 = 48,112 : x
  2. Step 2: Convert to fraction form
    21,536/48,112 = 48,112/x
  3. Step 3: Cross multiply
    21,536x = 48,112 × 48,112
  4. Step 4: Simplify right side
    21,536x = 2,314,764,544
  5. Step 5: Solve for x
    x = 2,314,764,544/21,536
  6. Step 6: Final answer
    x = 107,483.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.