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Finding the Third Proportional to 6,306 and 13,242

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Solution

The third proportional to 6,306 and 13,242 is: 27,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306 : 13,242 = 13,242 : x
  2. Step 2: Convert to fraction form
    6,306/13,242 = 13,242/x
  3. Step 3: Cross multiply
    6,306x = 13,242 × 13,242
  4. Step 4: Simplify right side
    6,306x = 175,350,564
  5. Step 5: Solve for x
    x = 175,350,564/6,306
  6. Step 6: Final answer
    x = 27,806.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.