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Finding the Third Proportional to 5,376 and 8,404

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Solution

The third proportional to 5,376 and 8,404 is: 13,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 8,404 = 8,404 : x
  2. Step 2: Convert to fraction form
    5,376/8,404 = 8,404/x
  3. Step 3: Cross multiply
    5,376x = 8,404 × 8,404
  4. Step 4: Simplify right side
    5,376x = 70,627,216
  5. Step 5: Solve for x
    x = 70,627,216/5,376
  6. Step 6: Final answer
    x = 13,137.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.