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Finding the Third Proportional to 21,745 and 46,649

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Solution

The third proportional to 21,745 and 46,649 is: 100,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745 : 46,649 = 46,649 : x
  2. Step 2: Convert to fraction form
    21,745/46,649 = 46,649/x
  3. Step 3: Cross multiply
    21,745x = 46,649 × 46,649
  4. Step 4: Simplify right side
    21,745x = 2,176,129,201
  5. Step 5: Solve for x
    x = 2,176,129,201/21,745
  6. Step 6: Final answer
    x = 100,074.92

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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.