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Finding the Third Proportional to 5,703.75 and 8,517.38

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Solution

The third proportional to 5,703.75 and 8,517.38 is: 12,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.75 : 8,517.38 = 8,517.38 : x
  2. Step 2: Convert to fraction form
    5,703.75/8,517.38 = 8,517.38/x
  3. Step 3: Cross multiply
    5,703.75x = 8,517.38 × 8,517.38
  4. Step 4: Simplify right side
    5,703.75x = 72,545,676.89
  5. Step 5: Solve for x
    x = 72,545,676.89/5,703.75
  6. Step 6: Final answer
    x = 12,718.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.