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Finding the Third Proportional to 46,716.75 and 68,586.75

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Solution

The third proportional to 46,716.75 and 68,586.75 is: 100,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716.75 : 68,586.75 = 68,586.75 : x
  2. Step 2: Convert to fraction form
    46,716.75/68,586.75 = 68,586.75/x
  3. Step 3: Cross multiply
    46,716.75x = 68,586.75 × 68,586.75
  4. Step 4: Simplify right side
    46,716.75x = 4,704,142,275.56
  5. Step 5: Solve for x
    x = 4,704,142,275.56/46,716.75
  6. Step 6: Final answer
    x = 100,694.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.