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Finding the Third Proportional to 8,271 and 17,999.88

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Solution

The third proportional to 8,271 and 17,999.88 is: 39,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 17,999.88 = 17,999.88 : x
  2. Step 2: Convert to fraction form
    8,271/17,999.88 = 17,999.88/x
  3. Step 3: Cross multiply
    8,271x = 17,999.88 × 17,999.88
  4. Step 4: Simplify right side
    8,271x = 323,995,500.02
  5. Step 5: Solve for x
    x = 323,995,500.02/8,271
  6. Step 6: Final answer
    x = 39,172.47

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