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Finding the Third Proportional to 19,654 and 40,442

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Solution

The third proportional to 19,654 and 40,442 is: 83,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 40,442 = 40,442 : x
  2. Step 2: Convert to fraction form
    19,654/40,442 = 40,442/x
  3. Step 3: Cross multiply
    19,654x = 40,442 × 40,442
  4. Step 4: Simplify right side
    19,654x = 1,635,555,364
  5. Step 5: Solve for x
    x = 1,635,555,364/19,654
  6. Step 6: Final answer
    x = 83,217.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.