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Finding the Third Proportional to 21,780.75 and 46,796.25

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Solution

The third proportional to 21,780.75 and 46,796.25 is: 100,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.75 : 46,796.25 = 46,796.25 : x
  2. Step 2: Convert to fraction form
    21,780.75/46,796.25 = 46,796.25/x
  3. Step 3: Cross multiply
    21,780.75x = 46,796.25 × 46,796.25
  4. Step 4: Simplify right side
    21,780.75x = 2,189,889,014.06
  5. Step 5: Solve for x
    x = 2,189,889,014.06/21,780.75
  6. Step 6: Final answer
    x = 100,542.41

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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.