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Finding the Third Proportional to 3,196 and 4,864

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Solution

The third proportional to 3,196 and 4,864 is: 7,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196 : 4,864 = 4,864 : x
  2. Step 2: Convert to fraction form
    3,196/4,864 = 4,864/x
  3. Step 3: Cross multiply
    3,196x = 4,864 × 4,864
  4. Step 4: Simplify right side
    3,196x = 23,658,496
  5. Step 5: Solve for x
    x = 23,658,496/3,196
  6. Step 6: Final answer
    x = 7,402.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.