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Finding the Third Proportional to 34,834 and 52,252

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Solution

The third proportional to 34,834 and 52,252 is: 78,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,834 : 52,252 = 52,252 : x
  2. Step 2: Convert to fraction form
    34,834/52,252 = 52,252/x
  3. Step 3: Cross multiply
    34,834x = 52,252 × 52,252
  4. Step 4: Simplify right side
    34,834x = 2,730,271,504
  5. Step 5: Solve for x
    x = 2,730,271,504/34,834
  6. Step 6: Final answer
    x = 78,379.50

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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.