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Finding the Third Proportional to 37,698 and 81,604

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Solution

The third proportional to 37,698 and 81,604 is: 176,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698 : 81,604 = 81,604 : x
  2. Step 2: Convert to fraction form
    37,698/81,604 = 81,604/x
  3. Step 3: Cross multiply
    37,698x = 81,604 × 81,604
  4. Step 4: Simplify right side
    37,698x = 6,659,212,816
  5. Step 5: Solve for x
    x = 6,659,212,816/37,698
  6. Step 6: Final answer
    x = 176,646.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.