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Finding the Third Proportional to 4,906 and 7,503

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Solution

The third proportional to 4,906 and 7,503 is: 11,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906 : 7,503 = 7,503 : x
  2. Step 2: Convert to fraction form
    4,906/7,503 = 7,503/x
  3. Step 3: Cross multiply
    4,906x = 7,503 × 7,503
  4. Step 4: Simplify right side
    4,906x = 56,295,009
  5. Step 5: Solve for x
    x = 56,295,009/4,906
  6. Step 6: Final answer
    x = 11,474.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.