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Finding the Third Proportional to 6,973 and 12,419

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Solution

The third proportional to 6,973 and 12,419 is: 22,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973 : 12,419 = 12,419 : x
  2. Step 2: Convert to fraction form
    6,973/12,419 = 12,419/x
  3. Step 3: Cross multiply
    6,973x = 12,419 × 12,419
  4. Step 4: Simplify right side
    6,973x = 154,231,561
  5. Step 5: Solve for x
    x = 154,231,561/6,973
  6. Step 6: Final answer
    x = 22,118.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.