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Finding the Third Proportional to 23,519 and 48,955

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Solution

The third proportional to 23,519 and 48,955 is: 101,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519 : 48,955 = 48,955 : x
  2. Step 2: Convert to fraction form
    23,519/48,955 = 48,955/x
  3. Step 3: Cross multiply
    23,519x = 48,955 × 48,955
  4. Step 4: Simplify right side
    23,519x = 2,396,592,025
  5. Step 5: Solve for x
    x = 2,396,592,025/23,519
  6. Step 6: Final answer
    x = 101,900.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.