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Finding the Third Proportional to 3,256.45 and 4,412.60

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Solution

The third proportional to 3,256.45 and 4,412.60 is: 5,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.45 : 4,412.60 = 4,412.60 : x
  2. Step 2: Convert to fraction form
    3,256.45/4,412.60 = 4,412.60/x
  3. Step 3: Cross multiply
    3,256.45x = 4,412.60 × 4,412.60
  4. Step 4: Simplify right side
    3,256.45x = 19,471,052.55
  5. Step 5: Solve for x
    x = 19,471,052.55/3,256.45
  6. Step 6: Final answer
    x = 5,979.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.