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Finding the Third Proportional to 3,238 and 4,583

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Solution

The third proportional to 3,238 and 4,583 is: 6,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238 : 4,583 = 4,583 : x
  2. Step 2: Convert to fraction form
    3,238/4,583 = 4,583/x
  3. Step 3: Cross multiply
    3,238x = 4,583 × 4,583
  4. Step 4: Simplify right side
    3,238x = 21,003,889
  5. Step 5: Solve for x
    x = 21,003,889/3,238
  6. Step 6: Final answer
    x = 6,486.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.