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Finding the Third Proportional to 10,923.13 and 16,438.69

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Solution

The third proportional to 10,923.13 and 16,438.69 is: 24,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.13 : 16,438.69 = 16,438.69 : x
  2. Step 2: Convert to fraction form
    10,923.13/16,438.69 = 16,438.69/x
  3. Step 3: Cross multiply
    10,923.13x = 16,438.69 × 16,438.69
  4. Step 4: Simplify right side
    10,923.13x = 270,230,446.72
  5. Step 5: Solve for x
    x = 270,230,446.72/10,923.13
  6. Step 6: Final answer
    x = 24,739.30

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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.