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Finding the Third Proportional to 11,794 and 24,572

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Solution

The third proportional to 11,794 and 24,572 is: 51,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794 : 24,572 = 24,572 : x
  2. Step 2: Convert to fraction form
    11,794/24,572 = 24,572/x
  3. Step 3: Cross multiply
    11,794x = 24,572 × 24,572
  4. Step 4: Simplify right side
    11,794x = 603,783,184
  5. Step 5: Solve for x
    x = 603,783,184/11,794
  6. Step 6: Final answer
    x = 51,194.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.