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Finding the Third Proportional to 3,503 and 7,651

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Solution

The third proportional to 3,503 and 7,651 is: 16,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503 : 7,651 = 7,651 : x
  2. Step 2: Convert to fraction form
    3,503/7,651 = 7,651/x
  3. Step 3: Cross multiply
    3,503x = 7,651 × 7,651
  4. Step 4: Simplify right side
    3,503x = 58,537,801
  5. Step 5: Solve for x
    x = 58,537,801/3,503
  6. Step 6: Final answer
    x = 16,710.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.