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Finding the Third Proportional to 21,568.78 and 46,932.75

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Solution

The third proportional to 21,568.78 and 46,932.75 is: 102,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.78 : 46,932.75 = 46,932.75 : x
  2. Step 2: Convert to fraction form
    21,568.78/46,932.75 = 46,932.75/x
  3. Step 3: Cross multiply
    21,568.78x = 46,932.75 × 46,932.75
  4. Step 4: Simplify right side
    21,568.78x = 2,202,683,022.56
  5. Step 5: Solve for x
    x = 2,202,683,022.56/21,568.78
  6. Step 6: Final answer
    x = 102,123.67

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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.