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Finding the Third Proportional to 5,704 and 10,808

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Solution

The third proportional to 5,704 and 10,808 is: 20,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704 : 10,808 = 10,808 : x
  2. Step 2: Convert to fraction form
    5,704/10,808 = 10,808/x
  3. Step 3: Cross multiply
    5,704x = 10,808 × 10,808
  4. Step 4: Simplify right side
    5,704x = 116,812,864
  5. Step 5: Solve for x
    x = 116,812,864/5,704
  6. Step 6: Final answer
    x = 20,479.11

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.