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Finding the Third Proportional to 37,620 and 79,462

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Solution

The third proportional to 37,620 and 79,462 is: 167,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,620 : 79,462 = 79,462 : x
  2. Step 2: Convert to fraction form
    37,620/79,462 = 79,462/x
  3. Step 3: Cross multiply
    37,620x = 79,462 × 79,462
  4. Step 4: Simplify right side
    37,620x = 6,314,209,444
  5. Step 5: Solve for x
    x = 6,314,209,444/37,620
  6. Step 6: Final answer
    x = 167,841.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.