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Finding the Third Proportional to 5,184 and 8,392

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Solution

The third proportional to 5,184 and 8,392 is: 13,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 8,392 = 8,392 : x
  2. Step 2: Convert to fraction form
    5,184/8,392 = 8,392/x
  3. Step 3: Cross multiply
    5,184x = 8,392 × 8,392
  4. Step 4: Simplify right side
    5,184x = 70,425,664
  5. Step 5: Solve for x
    x = 70,425,664/5,184
  6. Step 6: Final answer
    x = 13,585.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.