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Finding the Third Proportional to 23,065 and 48,873

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Solution

The third proportional to 23,065 and 48,873 is: 103,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065 : 48,873 = 48,873 : x
  2. Step 2: Convert to fraction form
    23,065/48,873 = 48,873/x
  3. Step 3: Cross multiply
    23,065x = 48,873 × 48,873
  4. Step 4: Simplify right side
    23,065x = 2,388,570,129
  5. Step 5: Solve for x
    x = 2,388,570,129/23,065
  6. Step 6: Final answer
    x = 103,558.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.