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Finding the Third Proportional to 9,115.03 and 13,682.67

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Solution

The third proportional to 9,115.03 and 13,682.67 is: 20,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.03 : 13,682.67 = 13,682.67 : x
  2. Step 2: Convert to fraction form
    9,115.03/13,682.67 = 13,682.67/x
  3. Step 3: Cross multiply
    9,115.03x = 13,682.67 × 13,682.67
  4. Step 4: Simplify right side
    9,115.03x = 187,215,509.64
  5. Step 5: Solve for x
    x = 187,215,509.64/9,115.03
  6. Step 6: Final answer
    x = 20,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.