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Finding the Third Proportional to 8,403.75 and 12,963.38

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Solution

The third proportional to 8,403.75 and 12,963.38 is: 19,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.75 : 12,963.38 = 12,963.38 : x
  2. Step 2: Convert to fraction form
    8,403.75/12,963.38 = 12,963.38/x
  3. Step 3: Cross multiply
    8,403.75x = 12,963.38 × 12,963.38
  4. Step 4: Simplify right side
    8,403.75x = 168,049,091.39
  5. Step 5: Solve for x
    x = 168,049,091.39/8,403.75
  6. Step 6: Final answer
    x = 19,996.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.