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Finding the Third Proportional to 3,216.38 and 4,858.59

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Solution

The third proportional to 3,216.38 and 4,858.59 is: 7,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.38 : 4,858.59 = 4,858.59 : x
  2. Step 2: Convert to fraction form
    3,216.38/4,858.59 = 4,858.59/x
  3. Step 3: Cross multiply
    3,216.38x = 4,858.59 × 4,858.59
  4. Step 4: Simplify right side
    3,216.38x = 23,605,933.23
  5. Step 5: Solve for x
    x = 23,605,933.23/3,216.38
  6. Step 6: Final answer
    x = 7,339.30

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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.