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Finding the Third Proportional to 4,704.38 and 7,029.38

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Solution

The third proportional to 4,704.38 and 7,029.38 is: 10,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.38 : 7,029.38 = 7,029.38 : x
  2. Step 2: Convert to fraction form
    4,704.38/7,029.38 = 7,029.38/x
  3. Step 3: Cross multiply
    4,704.38x = 7,029.38 × 7,029.38
  4. Step 4: Simplify right side
    4,704.38x = 49,412,112.89
  5. Step 5: Solve for x
    x = 49,412,112.89/4,704.38
  6. Step 6: Final answer
    x = 10,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.