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Finding the Third Proportional to 6,973 and 14,350

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Solution

The third proportional to 6,973 and 14,350 is: 29,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973 : 14,350 = 14,350 : x
  2. Step 2: Convert to fraction form
    6,973/14,350 = 14,350/x
  3. Step 3: Cross multiply
    6,973x = 14,350 × 14,350
  4. Step 4: Simplify right side
    6,973x = 205,922,500
  5. Step 5: Solve for x
    x = 205,922,500/6,973
  6. Step 6: Final answer
    x = 29,531.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.