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Finding the Third Proportional to 46,660.50 and 71,718.75

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Solution

The third proportional to 46,660.50 and 71,718.75 is: 110,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,660.50 : 71,718.75 = 71,718.75 : x
  2. Step 2: Convert to fraction form
    46,660.50/71,718.75 = 71,718.75/x
  3. Step 3: Cross multiply
    46,660.50x = 71,718.75 × 71,718.75
  4. Step 4: Simplify right side
    46,660.50x = 5,143,579,101.56
  5. Step 5: Solve for x
    x = 5,143,579,101.56/46,660.50
  6. Step 6: Final answer
    x = 110,234.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.