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Finding the Third Proportional to 34,504 and 52,025

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Solution

The third proportional to 34,504 and 52,025 is: 78,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,504 : 52,025 = 52,025 : x
  2. Step 2: Convert to fraction form
    34,504/52,025 = 52,025/x
  3. Step 3: Cross multiply
    34,504x = 52,025 × 52,025
  4. Step 4: Simplify right side
    34,504x = 2,706,600,625
  5. Step 5: Solve for x
    x = 2,706,600,625/34,504
  6. Step 6: Final answer
    x = 78,443.10

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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.