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Finding the Third Proportional to 12,984 and 16,882

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Solution

The third proportional to 12,984 and 16,882 is: 21,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 16,882 = 16,882 : x
  2. Step 2: Convert to fraction form
    12,984/16,882 = 16,882/x
  3. Step 3: Cross multiply
    12,984x = 16,882 × 16,882
  4. Step 4: Simplify right side
    12,984x = 285,001,924
  5. Step 5: Solve for x
    x = 285,001,924/12,984
  6. Step 6: Final answer
    x = 21,950.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.