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Finding the Third Proportional to 4,384.13 and 11,233.69

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Solution

The third proportional to 4,384.13 and 11,233.69 is: 28,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.13 : 11,233.69 = 11,233.69 : x
  2. Step 2: Convert to fraction form
    4,384.13/11,233.69 = 11,233.69/x
  3. Step 3: Cross multiply
    4,384.13x = 11,233.69 × 11,233.69
  4. Step 4: Simplify right side
    4,384.13x = 126,195,734.85
  5. Step 5: Solve for x
    x = 126,195,734.85/4,384.13
  6. Step 6: Final answer
    x = 28,784.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.