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Finding the Third Proportional to 13,772 and 22,178

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Solution

The third proportional to 13,772 and 22,178 is: 35,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 22,178 = 22,178 : x
  2. Step 2: Convert to fraction form
    13,772/22,178 = 22,178/x
  3. Step 3: Cross multiply
    13,772x = 22,178 × 22,178
  4. Step 4: Simplify right side
    13,772x = 491,863,684
  5. Step 5: Solve for x
    x = 491,863,684/13,772
  6. Step 6: Final answer
    x = 35,714.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.