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Finding the Third Proportional to 5,873 and 7,625

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Solution

The third proportional to 5,873 and 7,625 is: 9,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873 : 7,625 = 7,625 : x
  2. Step 2: Convert to fraction form
    5,873/7,625 = 7,625/x
  3. Step 3: Cross multiply
    5,873x = 7,625 × 7,625
  4. Step 4: Simplify right side
    5,873x = 58,140,625
  5. Step 5: Solve for x
    x = 58,140,625/5,873
  6. Step 6: Final answer
    x = 9,899.65

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.