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Finding the Third Proportional to 11,971.63 and 24,285

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Solution

The third proportional to 11,971.63 and 24,285 is: 49,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.63 : 24,285 = 24,285 : x
  2. Step 2: Convert to fraction form
    11,971.63/24,285 = 24,285/x
  3. Step 3: Cross multiply
    11,971.63x = 24,285 × 24,285
  4. Step 4: Simplify right side
    11,971.63x = 589,761,225
  5. Step 5: Solve for x
    x = 589,761,225/11,971.63
  6. Step 6: Final answer
    x = 49,263.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.