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Finding the Third Proportional to 9,679.50 and 15,174.84

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Solution

The third proportional to 9,679.50 and 15,174.84 is: 23,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.50 : 15,174.84 = 15,174.84 : x
  2. Step 2: Convert to fraction form
    9,679.50/15,174.84 = 15,174.84/x
  3. Step 3: Cross multiply
    9,679.50x = 15,174.84 × 15,174.84
  4. Step 4: Simplify right side
    9,679.50x = 230,275,882.84
  5. Step 5: Solve for x
    x = 230,275,882.84/9,679.50
  6. Step 6: Final answer
    x = 23,790.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.