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Finding the Third Proportional to 34,824 and 52,104

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Solution

The third proportional to 34,824 and 52,104 is: 77,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824 : 52,104 = 52,104 : x
  2. Step 2: Convert to fraction form
    34,824/52,104 = 52,104/x
  3. Step 3: Cross multiply
    34,824x = 52,104 × 52,104
  4. Step 4: Simplify right side
    34,824x = 2,714,826,816
  5. Step 5: Solve for x
    x = 2,714,826,816/34,824
  6. Step 6: Final answer
    x = 77,958.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.