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Finding the Third Proportional to 11,193 and 24,134.63

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Solution

The third proportional to 11,193 and 24,134.63 is: 52,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193 : 24,134.63 = 24,134.63 : x
  2. Step 2: Convert to fraction form
    11,193/24,134.63 = 24,134.63/x
  3. Step 3: Cross multiply
    11,193x = 24,134.63 × 24,134.63
  4. Step 4: Simplify right side
    11,193x = 582,480,123.89
  5. Step 5: Solve for x
    x = 582,480,123.89/11,193
  6. Step 6: Final answer
    x = 52,039.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.