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Finding the Third Proportional to 9,379.13 and 14,102.86

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Solution

The third proportional to 9,379.13 and 14,102.86 is: 21,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.13 : 14,102.86 = 14,102.86 : x
  2. Step 2: Convert to fraction form
    9,379.13/14,102.86 = 14,102.86/x
  3. Step 3: Cross multiply
    9,379.13x = 14,102.86 × 14,102.86
  4. Step 4: Simplify right side
    9,379.13x = 198,890,642.55
  5. Step 5: Solve for x
    x = 198,890,642.55/9,379.13
  6. Step 6: Final answer
    x = 21,205.67

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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.