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Finding the Third Proportional to 22,768 and 48,138

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Solution

The third proportional to 22,768 and 48,138 is: 101,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768 : 48,138 = 48,138 : x
  2. Step 2: Convert to fraction form
    22,768/48,138 = 48,138/x
  3. Step 3: Cross multiply
    22,768x = 48,138 × 48,138
  4. Step 4: Simplify right side
    22,768x = 2,317,267,044
  5. Step 5: Solve for x
    x = 2,317,267,044/22,768
  6. Step 6: Final answer
    x = 101,777.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.