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Finding the Third Proportional to 3,412 and 4,808

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Solution

The third proportional to 3,412 and 4,808 is: 6,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 4,808 = 4,808 : x
  2. Step 2: Convert to fraction form
    3,412/4,808 = 4,808/x
  3. Step 3: Cross multiply
    3,412x = 4,808 × 4,808
  4. Step 4: Simplify right side
    3,412x = 23,116,864
  5. Step 5: Solve for x
    x = 23,116,864/3,412
  6. Step 6: Final answer
    x = 6,775.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.