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Finding the Third Proportional to 3,778 and 9,169

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Solution

The third proportional to 3,778 and 9,169 is: 22,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778 : 9,169 = 9,169 : x
  2. Step 2: Convert to fraction form
    3,778/9,169 = 9,169/x
  3. Step 3: Cross multiply
    3,778x = 9,169 × 9,169
  4. Step 4: Simplify right side
    3,778x = 84,070,561
  5. Step 5: Solve for x
    x = 84,070,561/3,778
  6. Step 6: Final answer
    x = 22,252.66

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.