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Finding the Third Proportional to 21,235.13 and 46,206.75

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Solution

The third proportional to 21,235.13 and 46,206.75 is: 100,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.13 : 46,206.75 = 46,206.75 : x
  2. Step 2: Convert to fraction form
    21,235.13/46,206.75 = 46,206.75/x
  3. Step 3: Cross multiply
    21,235.13x = 46,206.75 × 46,206.75
  4. Step 4: Simplify right side
    21,235.13x = 2,135,063,745.56
  5. Step 5: Solve for x
    x = 2,135,063,745.56/21,235.13
  6. Step 6: Final answer
    x = 100,543.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.