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Finding the Third Proportional to 10,059.75 and 27,137.25

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Solution

The third proportional to 10,059.75 and 27,137.25 is: 73,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.75 : 27,137.25 = 27,137.25 : x
  2. Step 2: Convert to fraction form
    10,059.75/27,137.25 = 27,137.25/x
  3. Step 3: Cross multiply
    10,059.75x = 27,137.25 × 27,137.25
  4. Step 4: Simplify right side
    10,059.75x = 736,430,337.56
  5. Step 5: Solve for x
    x = 736,430,337.56/10,059.75
  6. Step 6: Final answer
    x = 73,205.63

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.