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Finding the Third Proportional to 3,540 and 4,617

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Solution

The third proportional to 3,540 and 4,617 is: 6,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 4,617 = 4,617 : x
  2. Step 2: Convert to fraction form
    3,540/4,617 = 4,617/x
  3. Step 3: Cross multiply
    3,540x = 4,617 × 4,617
  4. Step 4: Simplify right side
    3,540x = 21,316,689
  5. Step 5: Solve for x
    x = 21,316,689/3,540
  6. Step 6: Final answer
    x = 6,021.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.