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Finding the Third Proportional to 4,882.50 and 7,302.94

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Solution

The third proportional to 4,882.50 and 7,302.94 is: 10,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.50 : 7,302.94 = 7,302.94 : x
  2. Step 2: Convert to fraction form
    4,882.50/7,302.94 = 7,302.94/x
  3. Step 3: Cross multiply
    4,882.50x = 7,302.94 × 7,302.94
  4. Step 4: Simplify right side
    4,882.50x = 53,332,896.13
  5. Step 5: Solve for x
    x = 53,332,896.13/4,882.50
  6. Step 6: Final answer
    x = 10,923.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.