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Finding the Third Proportional to 27,333 and 58,859.50

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Solution

The third proportional to 27,333 and 58,859.50 is: 126,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,333 : 58,859.50 = 58,859.50 : x
  2. Step 2: Convert to fraction form
    27,333/58,859.50 = 58,859.50/x
  3. Step 3: Cross multiply
    27,333x = 58,859.50 × 58,859.50
  4. Step 4: Simplify right side
    27,333x = 3,464,440,740.25
  5. Step 5: Solve for x
    x = 3,464,440,740.25/27,333
  6. Step 6: Final answer
    x = 126,749.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.