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Finding the Third Proportional to 23,768 and 48,112

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Solution

The third proportional to 23,768 and 48,112 is: 97,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768 : 48,112 = 48,112 : x
  2. Step 2: Convert to fraction form
    23,768/48,112 = 48,112/x
  3. Step 3: Cross multiply
    23,768x = 48,112 × 48,112
  4. Step 4: Simplify right side
    23,768x = 2,314,764,544
  5. Step 5: Solve for x
    x = 2,314,764,544/23,768
  6. Step 6: Final answer
    x = 97,389.96

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.