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Finding the Third Proportional to 6,024 and 9,620

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Solution

The third proportional to 6,024 and 9,620 is: 15,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 9,620 = 9,620 : x
  2. Step 2: Convert to fraction form
    6,024/9,620 = 9,620/x
  3. Step 3: Cross multiply
    6,024x = 9,620 × 9,620
  4. Step 4: Simplify right side
    6,024x = 92,544,400
  5. Step 5: Solve for x
    x = 92,544,400/6,024
  6. Step 6: Final answer
    x = 15,362.62

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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.