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Finding the Third Proportional to 21,646 and 46,529

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Solution

The third proportional to 21,646 and 46,529 is: 100,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646 : 46,529 = 46,529 : x
  2. Step 2: Convert to fraction form
    21,646/46,529 = 46,529/x
  3. Step 3: Cross multiply
    21,646x = 46,529 × 46,529
  4. Step 4: Simplify right side
    21,646x = 2,164,947,841
  5. Step 5: Solve for x
    x = 2,164,947,841/21,646
  6. Step 6: Final answer
    x = 100,016.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.