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Finding the Third Proportional to 11,751.75 and 24,733.13

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Solution

The third proportional to 11,751.75 and 24,733.13 is: 52,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.75 : 24,733.13 = 24,733.13 : x
  2. Step 2: Convert to fraction form
    11,751.75/24,733.13 = 24,733.13/x
  3. Step 3: Cross multiply
    11,751.75x = 24,733.13 × 24,733.13
  4. Step 4: Simplify right side
    11,751.75x = 611,727,472.27
  5. Step 5: Solve for x
    x = 611,727,472.27/11,751.75
  6. Step 6: Final answer
    x = 52,054.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.