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Finding the Third Proportional to 13,474.69 and 14,689.69

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Solution

The third proportional to 13,474.69 and 14,689.69 is: 16,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.69 : 14,689.69 = 14,689.69 : x
  2. Step 2: Convert to fraction form
    13,474.69/14,689.69 = 14,689.69/x
  3. Step 3: Cross multiply
    13,474.69x = 14,689.69 × 14,689.69
  4. Step 4: Simplify right side
    13,474.69x = 215,786,918.85
  5. Step 5: Solve for x
    x = 215,786,918.85/13,474.69
  6. Step 6: Final answer
    x = 16,014.24

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.