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Finding the Third Proportional to 27,234 and 59,814

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Solution

The third proportional to 27,234 and 59,814 is: 131,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 59,814 = 59,814 : x
  2. Step 2: Convert to fraction form
    27,234/59,814 = 59,814/x
  3. Step 3: Cross multiply
    27,234x = 59,814 × 59,814
  4. Step 4: Simplify right side
    27,234x = 3,577,714,596
  5. Step 5: Solve for x
    x = 3,577,714,596/27,234
  6. Step 6: Final answer
    x = 131,369.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.