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Finding the Third Proportional to 37,855 and 79,633

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Solution

The third proportional to 37,855 and 79,633 is: 167,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855 : 79,633 = 79,633 : x
  2. Step 2: Convert to fraction form
    37,855/79,633 = 79,633/x
  3. Step 3: Cross multiply
    37,855x = 79,633 × 79,633
  4. Step 4: Simplify right side
    37,855x = 6,341,414,689
  5. Step 5: Solve for x
    x = 6,341,414,689/37,855
  6. Step 6: Final answer
    x = 167,518.55

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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.