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Finding the Third Proportional to 2,693.25 and 3,951.13

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Solution

The third proportional to 2,693.25 and 3,951.13 is: 5,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.25 : 3,951.13 = 3,951.13 : x
  2. Step 2: Convert to fraction form
    2,693.25/3,951.13 = 3,951.13/x
  3. Step 3: Cross multiply
    2,693.25x = 3,951.13 × 3,951.13
  4. Step 4: Simplify right side
    2,693.25x = 15,611,388.77
  5. Step 5: Solve for x
    x = 15,611,388.77/2,693.25
  6. Step 6: Final answer
    x = 5,796.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.