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Finding the Third Proportional to 8,301.38 and 12,483.38

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Solution

The third proportional to 8,301.38 and 12,483.38 is: 18,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.38 : 12,483.38 = 12,483.38 : x
  2. Step 2: Convert to fraction form
    8,301.38/12,483.38 = 12,483.38/x
  3. Step 3: Cross multiply
    8,301.38x = 12,483.38 × 12,483.38
  4. Step 4: Simplify right side
    8,301.38x = 155,834,651.39
  5. Step 5: Solve for x
    x = 155,834,651.39/8,301.38
  6. Step 6: Final answer
    x = 18,772.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.