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Finding the Third Proportional to 12,375.75 and 27,090.75

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Solution

The third proportional to 12,375.75 and 27,090.75 is: 59,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.75 : 27,090.75 = 27,090.75 : x
  2. Step 2: Convert to fraction form
    12,375.75/27,090.75 = 27,090.75/x
  3. Step 3: Cross multiply
    12,375.75x = 27,090.75 × 27,090.75
  4. Step 4: Simplify right side
    12,375.75x = 733,908,735.56
  5. Step 5: Solve for x
    x = 733,908,735.56/12,375.75
  6. Step 6: Final answer
    x = 59,302.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.