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Finding the Third Proportional to 19,984 and 40,656

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Solution

The third proportional to 19,984 and 40,656 is: 82,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 40,656 = 40,656 : x
  2. Step 2: Convert to fraction form
    19,984/40,656 = 40,656/x
  3. Step 3: Cross multiply
    19,984x = 40,656 × 40,656
  4. Step 4: Simplify right side
    19,984x = 1,652,910,336
  5. Step 5: Solve for x
    x = 1,652,910,336/19,984
  6. Step 6: Final answer
    x = 82,711.69

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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.