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Finding the Third Proportional to 27,062 and 58,435

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Solution

The third proportional to 27,062 and 58,435 is: 126,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,062 : 58,435 = 58,435 : x
  2. Step 2: Convert to fraction form
    27,062/58,435 = 58,435/x
  3. Step 3: Cross multiply
    27,062x = 58,435 × 58,435
  4. Step 4: Simplify right side
    27,062x = 3,414,649,225
  5. Step 5: Solve for x
    x = 3,414,649,225/27,062
  6. Step 6: Final answer
    x = 126,178.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.