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Finding the Third Proportional to 3,323.25 and 4,656.38

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Solution

The third proportional to 3,323.25 and 4,656.38 is: 6,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.25 : 4,656.38 = 4,656.38 : x
  2. Step 2: Convert to fraction form
    3,323.25/4,656.38 = 4,656.38/x
  3. Step 3: Cross multiply
    3,323.25x = 4,656.38 × 4,656.38
  4. Step 4: Simplify right side
    3,323.25x = 21,681,828.14
  5. Step 5: Solve for x
    x = 21,681,828.14/3,323.25
  6. Step 6: Final answer
    x = 6,524.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.