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Finding the Third Proportional to 9,006 and 14,385

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Solution

The third proportional to 9,006 and 14,385 is: 22,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006 : 14,385 = 14,385 : x
  2. Step 2: Convert to fraction form
    9,006/14,385 = 14,385/x
  3. Step 3: Cross multiply
    9,006x = 14,385 × 14,385
  4. Step 4: Simplify right side
    9,006x = 206,928,225
  5. Step 5: Solve for x
    x = 206,928,225/9,006
  6. Step 6: Final answer
    x = 22,976.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.