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Finding the Third Proportional to 27,550 and 59,678

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Solution

The third proportional to 27,550 and 59,678 is: 129,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,550 : 59,678 = 59,678 : x
  2. Step 2: Convert to fraction form
    27,550/59,678 = 59,678/x
  3. Step 3: Cross multiply
    27,550x = 59,678 × 59,678
  4. Step 4: Simplify right side
    27,550x = 3,561,463,684
  5. Step 5: Solve for x
    x = 3,561,463,684/27,550
  6. Step 6: Final answer
    x = 129,272.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.