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Finding the Third Proportional to 5,914 and 8,502

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Solution

The third proportional to 5,914 and 8,502 is: 12,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 8,502 = 8,502 : x
  2. Step 2: Convert to fraction form
    5,914/8,502 = 8,502/x
  3. Step 3: Cross multiply
    5,914x = 8,502 × 8,502
  4. Step 4: Simplify right side
    5,914x = 72,284,004
  5. Step 5: Solve for x
    x = 72,284,004/5,914
  6. Step 6: Final answer
    x = 12,222.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.