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Finding the Third Proportional to 3,205.13 and 4,615.31

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Solution

The third proportional to 3,205.13 and 4,615.31 is: 6,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.13 : 4,615.31 = 4,615.31 : x
  2. Step 2: Convert to fraction form
    3,205.13/4,615.31 = 4,615.31/x
  3. Step 3: Cross multiply
    3,205.13x = 4,615.31 × 4,615.31
  4. Step 4: Simplify right side
    3,205.13x = 21,301,109.47
  5. Step 5: Solve for x
    x = 21,301,109.47/3,205.13
  6. Step 6: Final answer
    x = 6,645.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.