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Finding the Third Proportional to 6,304 and 9,224

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Solution

The third proportional to 6,304 and 9,224 is: 13,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304 : 9,224 = 9,224 : x
  2. Step 2: Convert to fraction form
    6,304/9,224 = 9,224/x
  3. Step 3: Cross multiply
    6,304x = 9,224 × 9,224
  4. Step 4: Simplify right side
    6,304x = 85,082,176
  5. Step 5: Solve for x
    x = 85,082,176/6,304
  6. Step 6: Final answer
    x = 13,496.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.