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Finding the Third Proportional to 8,449.50 and 18,271.50

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Solution

The third proportional to 8,449.50 and 18,271.50 is: 39,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.50 : 18,271.50 = 18,271.50 : x
  2. Step 2: Convert to fraction form
    8,449.50/18,271.50 = 18,271.50/x
  3. Step 3: Cross multiply
    8,449.50x = 18,271.50 × 18,271.50
  4. Step 4: Simplify right side
    8,449.50x = 333,847,712.25
  5. Step 5: Solve for x
    x = 333,847,712.25/8,449.50
  6. Step 6: Final answer
    x = 39,510.94

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