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Finding the Third Proportional to 3,346.31 and 5,209.31

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Solution

The third proportional to 3,346.31 and 5,209.31 is: 8,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.31 : 5,209.31 = 5,209.31 : x
  2. Step 2: Convert to fraction form
    3,346.31/5,209.31 = 5,209.31/x
  3. Step 3: Cross multiply
    3,346.31x = 5,209.31 × 5,209.31
  4. Step 4: Simplify right side
    3,346.31x = 27,136,936.72
  5. Step 5: Solve for x
    x = 27,136,936.72/3,346.31
  6. Step 6: Final answer
    x = 8,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.