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Finding the Third Proportional to 3,247.59 and 4,447.41

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Solution

The third proportional to 3,247.59 and 4,447.41 is: 6,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.59 : 4,447.41 = 4,447.41 : x
  2. Step 2: Convert to fraction form
    3,247.59/4,447.41 = 4,447.41/x
  3. Step 3: Cross multiply
    3,247.59x = 4,447.41 × 4,447.41
  4. Step 4: Simplify right side
    3,247.59x = 19,779,422.35
  5. Step 5: Solve for x
    x = 19,779,422.35/3,247.59
  6. Step 6: Final answer
    x = 6,090.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.