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Finding the Third Proportional to 27,190 and 57,336.50

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Solution

The third proportional to 27,190 and 57,336.50 is: 120,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190 : 57,336.50 = 57,336.50 : x
  2. Step 2: Convert to fraction form
    27,190/57,336.50 = 57,336.50/x
  3. Step 3: Cross multiply
    27,190x = 57,336.50 × 57,336.50
  4. Step 4: Simplify right side
    27,190x = 3,287,474,232.25
  5. Step 5: Solve for x
    x = 3,287,474,232.25/27,190
  6. Step 6: Final answer
    x = 120,907.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.