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Finding the Third Proportional to 19,451 and 27,524.50

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Solution

The third proportional to 19,451 and 27,524.50 is: 38,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451 : 27,524.50 = 27,524.50 : x
  2. Step 2: Convert to fraction form
    19,451/27,524.50 = 27,524.50/x
  3. Step 3: Cross multiply
    19,451x = 27,524.50 × 27,524.50
  4. Step 4: Simplify right side
    19,451x = 757,598,100.25
  5. Step 5: Solve for x
    x = 757,598,100.25/19,451
  6. Step 6: Final answer
    x = 38,949.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.