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Finding the Third Proportional to 4,800.38 and 7,346.72

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Solution

The third proportional to 4,800.38 and 7,346.72 is: 11,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.38 : 7,346.72 = 7,346.72 : x
  2. Step 2: Convert to fraction form
    4,800.38/7,346.72 = 7,346.72/x
  3. Step 3: Cross multiply
    4,800.38x = 7,346.72 × 7,346.72
  4. Step 4: Simplify right side
    4,800.38x = 53,974,233.34
  5. Step 5: Solve for x
    x = 53,974,233.34/4,800.38
  6. Step 6: Final answer
    x = 11,243.73

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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.