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Finding the Third Proportional to 16,984 and 19,536

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Solution

The third proportional to 16,984 and 19,536 is: 22,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984 : 19,536 = 19,536 : x
  2. Step 2: Convert to fraction form
    16,984/19,536 = 19,536/x
  3. Step 3: Cross multiply
    16,984x = 19,536 × 19,536
  4. Step 4: Simplify right side
    16,984x = 381,655,296
  5. Step 5: Solve for x
    x = 381,655,296/16,984
  6. Step 6: Final answer
    x = 22,471.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.