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Finding the Third Proportional to 3,472 and 4,864

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Solution

The third proportional to 3,472 and 4,864 is: 6,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472 : 4,864 = 4,864 : x
  2. Step 2: Convert to fraction form
    3,472/4,864 = 4,864/x
  3. Step 3: Cross multiply
    3,472x = 4,864 × 4,864
  4. Step 4: Simplify right side
    3,472x = 23,658,496
  5. Step 5: Solve for x
    x = 23,658,496/3,472
  6. Step 6: Final answer
    x = 6,814.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.