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Finding the Third Proportional to 6,162 and 13,553

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Solution

The third proportional to 6,162 and 13,553 is: 29,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162 : 13,553 = 13,553 : x
  2. Step 2: Convert to fraction form
    6,162/13,553 = 13,553/x
  3. Step 3: Cross multiply
    6,162x = 13,553 × 13,553
  4. Step 4: Simplify right side
    6,162x = 183,683,809
  5. Step 5: Solve for x
    x = 183,683,809/6,162
  6. Step 6: Final answer
    x = 29,809.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.