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Finding the Third Proportional to 13,744.69 and 19,872.84

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Solution

The third proportional to 13,744.69 and 19,872.84 is: 28,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 19,872.84 = 19,872.84 : x
  2. Step 2: Convert to fraction form
    13,744.69/19,872.84 = 19,872.84/x
  3. Step 3: Cross multiply
    13,744.69x = 19,872.84 × 19,872.84
  4. Step 4: Simplify right side
    13,744.69x = 394,929,918.71
  5. Step 5: Solve for x
    x = 394,929,918.71/13,744.69
  6. Step 6: Final answer
    x = 28,733.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.