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Finding the Third Proportional to 14,080.25 and 19,685

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Solution

The third proportional to 14,080.25 and 19,685 is: 27,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.25 : 19,685 = 19,685 : x
  2. Step 2: Convert to fraction form
    14,080.25/19,685 = 19,685/x
  3. Step 3: Cross multiply
    14,080.25x = 19,685 × 19,685
  4. Step 4: Simplify right side
    14,080.25x = 387,499,225
  5. Step 5: Solve for x
    x = 387,499,225/14,080.25
  6. Step 6: Final answer
    x = 27,520.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.