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Finding the Third Proportional to 8,510.50 and 18,388.50

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Solution

The third proportional to 8,510.50 and 18,388.50 is: 39,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.50 : 18,388.50 = 18,388.50 : x
  2. Step 2: Convert to fraction form
    8,510.50/18,388.50 = 18,388.50/x
  3. Step 3: Cross multiply
    8,510.50x = 18,388.50 × 18,388.50
  4. Step 4: Simplify right side
    8,510.50x = 338,136,932.25
  5. Step 5: Solve for x
    x = 338,136,932.25/8,510.50
  6. Step 6: Final answer
    x = 39,731.74

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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.