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Finding the Third Proportional to 27,017 and 43,408

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Solution

The third proportional to 27,017 and 43,408 is: 69,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017 : 43,408 = 43,408 : x
  2. Step 2: Convert to fraction form
    27,017/43,408 = 43,408/x
  3. Step 3: Cross multiply
    27,017x = 43,408 × 43,408
  4. Step 4: Simplify right side
    27,017x = 1,884,254,464
  5. Step 5: Solve for x
    x = 1,884,254,464/27,017
  6. Step 6: Final answer
    x = 69,743.29

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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.