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Finding the Third Proportional to 2,302 and 3,663

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Solution

The third proportional to 2,302 and 3,663 is: 5,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302 : 3,663 = 3,663 : x
  2. Step 2: Convert to fraction form
    2,302/3,663 = 3,663/x
  3. Step 3: Cross multiply
    2,302x = 3,663 × 3,663
  4. Step 4: Simplify right side
    2,302x = 13,417,569
  5. Step 5: Solve for x
    x = 13,417,569/2,302
  6. Step 6: Final answer
    x = 5,828.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.