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Finding the Third Proportional to 21,673 and 46,579.50

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Solution

The third proportional to 21,673 and 46,579.50 is: 100,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673 : 46,579.50 = 46,579.50 : x
  2. Step 2: Convert to fraction form
    21,673/46,579.50 = 46,579.50/x
  3. Step 3: Cross multiply
    21,673x = 46,579.50 × 46,579.50
  4. Step 4: Simplify right side
    21,673x = 2,169,649,820.25
  5. Step 5: Solve for x
    x = 2,169,649,820.25/21,673
  6. Step 6: Final answer
    x = 100,108.42

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