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Finding the Third Proportional to 8,498 and 13,003

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Solution

The third proportional to 8,498 and 13,003 is: 19,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498 : 13,003 = 13,003 : x
  2. Step 2: Convert to fraction form
    8,498/13,003 = 13,003/x
  3. Step 3: Cross multiply
    8,498x = 13,003 × 13,003
  4. Step 4: Simplify right side
    8,498x = 169,078,009
  5. Step 5: Solve for x
    x = 169,078,009/8,498
  6. Step 6: Final answer
    x = 19,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.