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Finding the Third Proportional to 9,013 and 18,715

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Solution

The third proportional to 9,013 and 18,715 is: 38,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013 : 18,715 = 18,715 : x
  2. Step 2: Convert to fraction form
    9,013/18,715 = 18,715/x
  3. Step 3: Cross multiply
    9,013x = 18,715 × 18,715
  4. Step 4: Simplify right side
    9,013x = 350,251,225
  5. Step 5: Solve for x
    x = 350,251,225/9,013
  6. Step 6: Final answer
    x = 38,860.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.