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Finding the Third Proportional to 21,512 and 46,912

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Solution

The third proportional to 21,512 and 46,912 is: 102,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512 : 46,912 = 46,912 : x
  2. Step 2: Convert to fraction form
    21,512/46,912 = 46,912/x
  3. Step 3: Cross multiply
    21,512x = 46,912 × 46,912
  4. Step 4: Simplify right side
    21,512x = 2,200,735,744
  5. Step 5: Solve for x
    x = 2,200,735,744/21,512
  6. Step 6: Final answer
    x = 102,302.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.