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Finding the Third Proportional to 5,918.34 and 12,668.34

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Solution

The third proportional to 5,918.34 and 12,668.34 is: 27,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.34 : 12,668.34 = 12,668.34 : x
  2. Step 2: Convert to fraction form
    5,918.34/12,668.34 = 12,668.34/x
  3. Step 3: Cross multiply
    5,918.34x = 12,668.34 × 12,668.34
  4. Step 4: Simplify right side
    5,918.34x = 160,486,933.37
  5. Step 5: Solve for x
    x = 160,486,933.37/5,918.34
  6. Step 6: Final answer
    x = 27,116.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.