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Finding the Third Proportional to 11,785.50 and 27,276.75

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Solution

The third proportional to 11,785.50 and 27,276.75 is: 63,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.50 : 27,276.75 = 27,276.75 : x
  2. Step 2: Convert to fraction form
    11,785.50/27,276.75 = 27,276.75/x
  3. Step 3: Cross multiply
    11,785.50x = 27,276.75 × 27,276.75
  4. Step 4: Simplify right side
    11,785.50x = 744,021,090.56
  5. Step 5: Solve for x
    x = 744,021,090.56/11,785.50
  6. Step 6: Final answer
    x = 63,130.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.