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Finding the Third Proportional to 19,694 and 40,358

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Solution

The third proportional to 19,694 and 40,358 is: 82,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694 : 40,358 = 40,358 : x
  2. Step 2: Convert to fraction form
    19,694/40,358 = 40,358/x
  3. Step 3: Cross multiply
    19,694x = 40,358 × 40,358
  4. Step 4: Simplify right side
    19,694x = 1,628,768,164
  5. Step 5: Solve for x
    x = 1,628,768,164/19,694
  6. Step 6: Final answer
    x = 82,703.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.