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Finding the Third Proportional to 11,571 and 14,623.50

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Solution

The third proportional to 11,571 and 14,623.50 is: 18,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 14,623.50 = 14,623.50 : x
  2. Step 2: Convert to fraction form
    11,571/14,623.50 = 14,623.50/x
  3. Step 3: Cross multiply
    11,571x = 14,623.50 × 14,623.50
  4. Step 4: Simplify right side
    11,571x = 213,846,752.25
  5. Step 5: Solve for x
    x = 213,846,752.25/11,571
  6. Step 6: Final answer
    x = 18,481.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.