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Finding the Third Proportional to 13,724.44 and 18,642.66

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Solution

The third proportional to 13,724.44 and 18,642.66 is: 25,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.44 : 18,642.66 = 18,642.66 : x
  2. Step 2: Convert to fraction form
    13,724.44/18,642.66 = 18,642.66/x
  3. Step 3: Cross multiply
    13,724.44x = 18,642.66 × 18,642.66
  4. Step 4: Simplify right side
    13,724.44x = 347,548,632.06
  5. Step 5: Solve for x
    x = 347,548,632.06/13,724.44
  6. Step 6: Final answer
    x = 25,323.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.