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Finding the Third Proportional to 3,417 and 6,906

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Solution

The third proportional to 3,417 and 6,906 is: 13,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 6,906 = 6,906 : x
  2. Step 2: Convert to fraction form
    3,417/6,906 = 6,906/x
  3. Step 3: Cross multiply
    3,417x = 6,906 × 6,906
  4. Step 4: Simplify right side
    3,417x = 47,692,836
  5. Step 5: Solve for x
    x = 47,692,836/3,417
  6. Step 6: Final answer
    x = 13,957.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.