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Finding the Third Proportional to 3,417 and 6,924

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Solution

The third proportional to 3,417 and 6,924 is: 14,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 6,924 = 6,924 : x
  2. Step 2: Convert to fraction form
    3,417/6,924 = 6,924/x
  3. Step 3: Cross multiply
    3,417x = 6,924 × 6,924
  4. Step 4: Simplify right side
    3,417x = 47,941,776
  5. Step 5: Solve for x
    x = 47,941,776/3,417
  6. Step 6: Final answer
    x = 14,030.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.