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Finding the Third Proportional to 34,575 and 52,104

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Solution

The third proportional to 34,575 and 52,104 is: 78,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,575 : 52,104 = 52,104 : x
  2. Step 2: Convert to fraction form
    34,575/52,104 = 52,104/x
  3. Step 3: Cross multiply
    34,575x = 52,104 × 52,104
  4. Step 4: Simplify right side
    34,575x = 2,714,826,816
  5. Step 5: Solve for x
    x = 2,714,826,816/34,575
  6. Step 6: Final answer
    x = 78,519.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.