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Finding the Third Proportional to 4,109 and 7,300

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Solution

The third proportional to 4,109 and 7,300 is: 12,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 7,300 = 7,300 : x
  2. Step 2: Convert to fraction form
    4,109/7,300 = 7,300/x
  3. Step 3: Cross multiply
    4,109x = 7,300 × 7,300
  4. Step 4: Simplify right side
    4,109x = 53,290,000
  5. Step 5: Solve for x
    x = 53,290,000/4,109
  6. Step 6: Final answer
    x = 12,969.09

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.