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Finding the Third Proportional to 27,709.50 and 61,251

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Solution

The third proportional to 27,709.50 and 61,251 is: 135,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.50 : 61,251 = 61,251 : x
  2. Step 2: Convert to fraction form
    27,709.50/61,251 = 61,251/x
  3. Step 3: Cross multiply
    27,709.50x = 61,251 × 61,251
  4. Step 4: Simplify right side
    27,709.50x = 3,751,685,001
  5. Step 5: Solve for x
    x = 3,751,685,001/27,709.50
  6. Step 6: Final answer
    x = 135,393.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.