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Finding the Third Proportional to 6,816 and 13,024

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Solution

The third proportional to 6,816 and 13,024 is: 24,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 13,024 = 13,024 : x
  2. Step 2: Convert to fraction form
    6,816/13,024 = 13,024/x
  3. Step 3: Cross multiply
    6,816x = 13,024 × 13,024
  4. Step 4: Simplify right side
    6,816x = 169,624,576
  5. Step 5: Solve for x
    x = 169,624,576/6,816
  6. Step 6: Final answer
    x = 24,886.23

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.