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Finding the Third Proportional to 3,202 and 7,411

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Solution

The third proportional to 3,202 and 7,411 is: 17,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 7,411 = 7,411 : x
  2. Step 2: Convert to fraction form
    3,202/7,411 = 7,411/x
  3. Step 3: Cross multiply
    3,202x = 7,411 × 7,411
  4. Step 4: Simplify right side
    3,202x = 54,922,921
  5. Step 5: Solve for x
    x = 54,922,921/3,202
  6. Step 6: Final answer
    x = 17,152.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.