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Finding the Third Proportional to 6,363.28 and 13,706.16

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Solution

The third proportional to 6,363.28 and 13,706.16 is: 29,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.28 : 13,706.16 = 13,706.16 : x
  2. Step 2: Convert to fraction form
    6,363.28/13,706.16 = 13,706.16/x
  3. Step 3: Cross multiply
    6,363.28x = 13,706.16 × 13,706.16
  4. Step 4: Simplify right side
    6,363.28x = 187,858,719.15
  5. Step 5: Solve for x
    x = 187,858,719.15/6,363.28
  6. Step 6: Final answer
    x = 29,522.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.