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Finding the Third Proportional to 3,407.25 and 5,133.75

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Solution

The third proportional to 3,407.25 and 5,133.75 is: 7,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.25 : 5,133.75 = 5,133.75 : x
  2. Step 2: Convert to fraction form
    3,407.25/5,133.75 = 5,133.75/x
  3. Step 3: Cross multiply
    3,407.25x = 5,133.75 × 5,133.75
  4. Step 4: Simplify right side
    3,407.25x = 26,355,389.06
  5. Step 5: Solve for x
    x = 26,355,389.06/3,407.25
  6. Step 6: Final answer
    x = 7,735.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.