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Finding the Third Proportional to 27,769.50 and 58,849.03

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Solution

The third proportional to 27,769.50 and 58,849.03 is: 124,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.50 : 58,849.03 = 58,849.03 : x
  2. Step 2: Convert to fraction form
    27,769.50/58,849.03 = 58,849.03/x
  3. Step 3: Cross multiply
    27,769.50x = 58,849.03 × 58,849.03
  4. Step 4: Simplify right side
    27,769.50x = 3,463,208,479.06
  5. Step 5: Solve for x
    x = 3,463,208,479.06/27,769.50
  6. Step 6: Final answer
    x = 124,712.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.