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Finding the Third Proportional to 27,543.75 and 59,667

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Solution

The third proportional to 27,543.75 and 59,667 is: 129,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.75 : 59,667 = 59,667 : x
  2. Step 2: Convert to fraction form
    27,543.75/59,667 = 59,667/x
  3. Step 3: Cross multiply
    27,543.75x = 59,667 × 59,667
  4. Step 4: Simplify right side
    27,543.75x = 3,560,150,889
  5. Step 5: Solve for x
    x = 3,560,150,889/27,543.75
  6. Step 6: Final answer
    x = 129,254.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.