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Finding the Third Proportional to 21,634.75 and 46,501.25

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Solution

The third proportional to 21,634.75 and 46,501.25 is: 99,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.75 : 46,501.25 = 46,501.25 : x
  2. Step 2: Convert to fraction form
    21,634.75/46,501.25 = 46,501.25/x
  3. Step 3: Cross multiply
    21,634.75x = 46,501.25 × 46,501.25
  4. Step 4: Simplify right side
    21,634.75x = 2,162,366,251.56
  5. Step 5: Solve for x
    x = 2,162,366,251.56/21,634.75
  6. Step 6: Final answer
    x = 99,948.75

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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.