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Finding the Third Proportional to 8,403.75 and 19,596.94

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Solution

The third proportional to 8,403.75 and 19,596.94 is: 45,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.75 : 19,596.94 = 19,596.94 : x
  2. Step 2: Convert to fraction form
    8,403.75/19,596.94 = 19,596.94/x
  3. Step 3: Cross multiply
    8,403.75x = 19,596.94 × 19,596.94
  4. Step 4: Simplify right side
    8,403.75x = 384,039,959.38
  5. Step 5: Solve for x
    x = 384,039,959.38/8,403.75
  6. Step 6: Final answer
    x = 45,698.64

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.