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Finding the Third Proportional to 27,050 and 58,420

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Solution

The third proportional to 27,050 and 58,420 is: 126,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050 : 58,420 = 58,420 : x
  2. Step 2: Convert to fraction form
    27,050/58,420 = 58,420/x
  3. Step 3: Cross multiply
    27,050x = 58,420 × 58,420
  4. Step 4: Simplify right side
    27,050x = 3,412,896,400
  5. Step 5: Solve for x
    x = 3,412,896,400/27,050
  6. Step 6: Final answer
    x = 126,169.92

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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.