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Finding the Third Proportional to 14,172.75 and 30,935.81

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Solution

The third proportional to 14,172.75 and 30,935.81 is: 67,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.75 : 30,935.81 = 30,935.81 : x
  2. Step 2: Convert to fraction form
    14,172.75/30,935.81 = 30,935.81/x
  3. Step 3: Cross multiply
    14,172.75x = 30,935.81 × 30,935.81
  4. Step 4: Simplify right side
    14,172.75x = 957,024,495.04
  5. Step 5: Solve for x
    x = 957,024,495.04/14,172.75
  6. Step 6: Final answer
    x = 67,525.67

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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.