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Finding the Third Proportional to 13,768 and 22,166

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Solution

The third proportional to 13,768 and 22,166 is: 35,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 22,166 = 22,166 : x
  2. Step 2: Convert to fraction form
    13,768/22,166 = 22,166/x
  3. Step 3: Cross multiply
    13,768x = 22,166 × 22,166
  4. Step 4: Simplify right side
    13,768x = 491,331,556
  5. Step 5: Solve for x
    x = 491,331,556/13,768
  6. Step 6: Final answer
    x = 35,686.49

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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.