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Finding the Third Proportional to 10,108 and 14,873

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Solution

The third proportional to 10,108 and 14,873 is: 21,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 14,873 = 14,873 : x
  2. Step 2: Convert to fraction form
    10,108/14,873 = 14,873/x
  3. Step 3: Cross multiply
    10,108x = 14,873 × 14,873
  4. Step 4: Simplify right side
    10,108x = 221,206,129
  5. Step 5: Solve for x
    x = 221,206,129/10,108
  6. Step 6: Final answer
    x = 21,884.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.