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Finding the Third Proportional to 21,108 and 46,138

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Solution

The third proportional to 21,108 and 46,138 is: 100,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108 : 46,138 = 46,138 : x
  2. Step 2: Convert to fraction form
    21,108/46,138 = 46,138/x
  3. Step 3: Cross multiply
    21,108x = 46,138 × 46,138
  4. Step 4: Simplify right side
    21,108x = 2,128,715,044
  5. Step 5: Solve for x
    x = 2,128,715,044/21,108
  6. Step 6: Final answer
    x = 100,848.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.