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Finding the Third Proportional to 3,206.25 and 4,782.38

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Solution

The third proportional to 3,206.25 and 4,782.38 is: 7,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.25 : 4,782.38 = 4,782.38 : x
  2. Step 2: Convert to fraction form
    3,206.25/4,782.38 = 4,782.38/x
  3. Step 3: Cross multiply
    3,206.25x = 4,782.38 × 4,782.38
  4. Step 4: Simplify right side
    3,206.25x = 22,871,110.64
  5. Step 5: Solve for x
    x = 22,871,110.64/3,206.25
  6. Step 6: Final answer
    x = 7,133.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.