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Finding the Third Proportional to 2,829.66 and 6,145.46

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Solution

The third proportional to 2,829.66 and 6,145.46 is: 13,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.66 : 6,145.46 = 6,145.46 : x
  2. Step 2: Convert to fraction form
    2,829.66/6,145.46 = 6,145.46/x
  3. Step 3: Cross multiply
    2,829.66x = 6,145.46 × 6,145.46
  4. Step 4: Simplify right side
    2,829.66x = 37,766,735.90
  5. Step 5: Solve for x
    x = 37,766,735.90/2,829.66
  6. Step 6: Final answer
    x = 13,346.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.