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Finding the Third Proportional to 6,024 and 9,619

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Solution

The third proportional to 6,024 and 9,619 is: 15,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 9,619 = 9,619 : x
  2. Step 2: Convert to fraction form
    6,024/9,619 = 9,619/x
  3. Step 3: Cross multiply
    6,024x = 9,619 × 9,619
  4. Step 4: Simplify right side
    6,024x = 92,525,161
  5. Step 5: Solve for x
    x = 92,525,161/6,024
  6. Step 6: Final answer
    x = 15,359.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.