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Finding the Third Proportional to 45,483.75 and 71,568

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Solution

The third proportional to 45,483.75 and 71,568 is: 112,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,483.75 : 71,568 = 71,568 : x
  2. Step 2: Convert to fraction form
    45,483.75/71,568 = 71,568/x
  3. Step 3: Cross multiply
    45,483.75x = 71,568 × 71,568
  4. Step 4: Simplify right side
    45,483.75x = 5,121,978,624
  5. Step 5: Solve for x
    x = 5,121,978,624/45,483.75
  6. Step 6: Final answer
    x = 112,611.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.