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Finding the Third Proportional to 7,674.75 and 17,749.13

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Solution

The third proportional to 7,674.75 and 17,749.13 is: 41,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 17,749.13 = 17,749.13 : x
  2. Step 2: Convert to fraction form
    7,674.75/17,749.13 = 17,749.13/x
  3. Step 3: Cross multiply
    7,674.75x = 17,749.13 × 17,749.13
  4. Step 4: Simplify right side
    7,674.75x = 315,031,438.27
  5. Step 5: Solve for x
    x = 315,031,438.27/7,674.75
  6. Step 6: Final answer
    x = 41,047.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.