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Finding the Third Proportional to 13,000.75 and 30,679.38

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Solution

The third proportional to 13,000.75 and 30,679.38 is: 72,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.75 : 30,679.38 = 30,679.38 : x
  2. Step 2: Convert to fraction form
    13,000.75/30,679.38 = 30,679.38/x
  3. Step 3: Cross multiply
    13,000.75x = 30,679.38 × 30,679.38
  4. Step 4: Simplify right side
    13,000.75x = 941,224,050.39
  5. Step 5: Solve for x
    x = 941,224,050.39/13,000.75
  6. Step 6: Final answer
    x = 72,397.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.