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Finding the Third Proportional to 3,903 and 7,500

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Solution

The third proportional to 3,903 and 7,500 is: 14,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903 : 7,500 = 7,500 : x
  2. Step 2: Convert to fraction form
    3,903/7,500 = 7,500/x
  3. Step 3: Cross multiply
    3,903x = 7,500 × 7,500
  4. Step 4: Simplify right side
    3,903x = 56,250,000
  5. Step 5: Solve for x
    x = 56,250,000/3,903
  6. Step 6: Final answer
    x = 14,411.99

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.