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Finding the Third Proportional to 16,142.06 and 25,170.19

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Solution

The third proportional to 16,142.06 and 25,170.19 is: 39,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.06 : 25,170.19 = 25,170.19 : x
  2. Step 2: Convert to fraction form
    16,142.06/25,170.19 = 25,170.19/x
  3. Step 3: Cross multiply
    16,142.06x = 25,170.19 × 25,170.19
  4. Step 4: Simplify right side
    16,142.06x = 633,538,338.79
  5. Step 5: Solve for x
    x = 633,538,338.79/16,142.06
  6. Step 6: Final answer
    x = 39,247.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.