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Finding the Third Proportional to 36,576 and 49,140

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Solution

The third proportional to 36,576 and 49,140 is: 66,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 49,140 = 49,140 : x
  2. Step 2: Convert to fraction form
    36,576/49,140 = 49,140/x
  3. Step 3: Cross multiply
    36,576x = 49,140 × 49,140
  4. Step 4: Simplify right side
    36,576x = 2,414,739,600
  5. Step 5: Solve for x
    x = 2,414,739,600/36,576
  6. Step 6: Final answer
    x = 66,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.