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Finding the Third Proportional to 13,453 and 20,300

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Solution

The third proportional to 13,453 and 20,300 is: 30,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453 : 20,300 = 20,300 : x
  2. Step 2: Convert to fraction form
    13,453/20,300 = 20,300/x
  3. Step 3: Cross multiply
    13,453x = 20,300 × 20,300
  4. Step 4: Simplify right side
    13,453x = 412,090,000
  5. Step 5: Solve for x
    x = 412,090,000/13,453
  6. Step 6: Final answer
    x = 30,631.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.