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Finding the Third Proportional to 6,498 and 14,102

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Solution

The third proportional to 6,498 and 14,102 is: 30,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 14,102 = 14,102 : x
  2. Step 2: Convert to fraction form
    6,498/14,102 = 14,102/x
  3. Step 3: Cross multiply
    6,498x = 14,102 × 14,102
  4. Step 4: Simplify right side
    6,498x = 198,866,404
  5. Step 5: Solve for x
    x = 198,866,404/6,498
  6. Step 6: Final answer
    x = 30,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.