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Finding the Third Proportional to 27,200 and 58,752

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Solution

The third proportional to 27,200 and 58,752 is: 126,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200 : 58,752 = 58,752 : x
  2. Step 2: Convert to fraction form
    27,200/58,752 = 58,752/x
  3. Step 3: Cross multiply
    27,200x = 58,752 × 58,752
  4. Step 4: Simplify right side
    27,200x = 3,451,797,504
  5. Step 5: Solve for x
    x = 3,451,797,504/27,200
  6. Step 6: Final answer
    x = 126,904.32

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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.