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Finding the Third Proportional to 21,152 and 44,660

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Solution

The third proportional to 21,152 and 44,660 is: 94,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152 : 44,660 = 44,660 : x
  2. Step 2: Convert to fraction form
    21,152/44,660 = 44,660/x
  3. Step 3: Cross multiply
    21,152x = 44,660 × 44,660
  4. Step 4: Simplify right side
    21,152x = 1,994,515,600
  5. Step 5: Solve for x
    x = 1,994,515,600/21,152
  6. Step 6: Final answer
    x = 94,294.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.