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Finding the Third Proportional to 2,564.44 and 3,627.84

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Solution

The third proportional to 2,564.44 and 3,627.84 is: 5,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.44 : 3,627.84 = 3,627.84 : x
  2. Step 2: Convert to fraction form
    2,564.44/3,627.84 = 3,627.84/x
  3. Step 3: Cross multiply
    2,564.44x = 3,627.84 × 3,627.84
  4. Step 4: Simplify right side
    2,564.44x = 13,161,250.27
  5. Step 5: Solve for x
    x = 13,161,250.27/2,564.44
  6. Step 6: Final answer
    x = 5,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.