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Finding the Third Proportional to 4,534.45 and 7,006.64

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Solution

The third proportional to 4,534.45 and 7,006.64 is: 10,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.45 : 7,006.64 = 7,006.64 : x
  2. Step 2: Convert to fraction form
    4,534.45/7,006.64 = 7,006.64/x
  3. Step 3: Cross multiply
    4,534.45x = 7,006.64 × 7,006.64
  4. Step 4: Simplify right side
    4,534.45x = 49,093,012.85
  5. Step 5: Solve for x
    x = 49,093,012.85/4,534.45
  6. Step 6: Final answer
    x = 10,826.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.