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Finding the Third Proportional to 21,846 and 46,805.25

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Solution

The third proportional to 21,846 and 46,805.25 is: 100,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 46,805.25 = 46,805.25 : x
  2. Step 2: Convert to fraction form
    21,846/46,805.25 = 46,805.25/x
  3. Step 3: Cross multiply
    21,846x = 46,805.25 × 46,805.25
  4. Step 4: Simplify right side
    21,846x = 2,190,731,427.56
  5. Step 5: Solve for x
    x = 2,190,731,427.56/21,846
  6. Step 6: Final answer
    x = 100,280.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.