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Finding the Third Proportional to 13,772 and 28,270

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Solution

The third proportional to 13,772 and 28,270 is: 58,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 28,270 = 28,270 : x
  2. Step 2: Convert to fraction form
    13,772/28,270 = 28,270/x
  3. Step 3: Cross multiply
    13,772x = 28,270 × 28,270
  4. Step 4: Simplify right side
    13,772x = 799,192,900
  5. Step 5: Solve for x
    x = 799,192,900/13,772
  6. Step 6: Final answer
    x = 58,030.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.