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Finding the Third Proportional to 37,824 and 79,518

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Solution

The third proportional to 37,824 and 79,518 is: 167,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,824 : 79,518 = 79,518 : x
  2. Step 2: Convert to fraction form
    37,824/79,518 = 79,518/x
  3. Step 3: Cross multiply
    37,824x = 79,518 × 79,518
  4. Step 4: Simplify right side
    37,824x = 6,323,112,324
  5. Step 5: Solve for x
    x = 6,323,112,324/37,824
  6. Step 6: Final answer
    x = 167,171.96

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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.