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Finding the Third Proportional to 3,836.74 and 6,564.80

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Solution

The third proportional to 3,836.74 and 6,564.80 is: 11,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.74 : 6,564.80 = 6,564.80 : x
  2. Step 2: Convert to fraction form
    3,836.74/6,564.80 = 6,564.80/x
  3. Step 3: Cross multiply
    3,836.74x = 6,564.80 × 6,564.80
  4. Step 4: Simplify right side
    3,836.74x = 43,096,558.01
  5. Step 5: Solve for x
    x = 43,096,558.01/3,836.74
  6. Step 6: Final answer
    x = 11,232.59

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.