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Finding the Third Proportional to 37,842 and 79,488

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Solution

The third proportional to 37,842 and 79,488 is: 166,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 79,488 = 79,488 : x
  2. Step 2: Convert to fraction form
    37,842/79,488 = 79,488/x
  3. Step 3: Cross multiply
    37,842x = 79,488 × 79,488
  4. Step 4: Simplify right side
    37,842x = 6,318,342,144
  5. Step 5: Solve for x
    x = 6,318,342,144/37,842
  6. Step 6: Final answer
    x = 166,966.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.