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Finding the Third Proportional to 5,065.03 and 7,121.67

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Solution

The third proportional to 5,065.03 and 7,121.67 is: 10,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.03 : 7,121.67 = 7,121.67 : x
  2. Step 2: Convert to fraction form
    5,065.03/7,121.67 = 7,121.67/x
  3. Step 3: Cross multiply
    5,065.03x = 7,121.67 × 7,121.67
  4. Step 4: Simplify right side
    5,065.03x = 50,718,210.30
  5. Step 5: Solve for x
    x = 50,718,210.30/5,065.03
  6. Step 6: Final answer
    x = 10,013.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.