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Finding the Third Proportional to 8,251.00 and 17,817.39

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Solution

The third proportional to 8,251.00 and 17,817.39 is: 38,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.00 : 17,817.39 = 17,817.39 : x
  2. Step 2: Convert to fraction form
    8,251.00/17,817.39 = 17,817.39/x
  3. Step 3: Cross multiply
    8,251.00x = 17,817.39 × 17,817.39
  4. Step 4: Simplify right side
    8,251.00x = 317,459,373.88
  5. Step 5: Solve for x
    x = 317,459,373.88/8,251.00
  6. Step 6: Final answer
    x = 38,475.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.