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Finding the Third Proportional to 34,868 and 52,624

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Solution

The third proportional to 34,868 and 52,624 is: 79,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,868 : 52,624 = 52,624 : x
  2. Step 2: Convert to fraction form
    34,868/52,624 = 52,624/x
  3. Step 3: Cross multiply
    34,868x = 52,624 × 52,624
  4. Step 4: Simplify right side
    34,868x = 2,769,285,376
  5. Step 5: Solve for x
    x = 2,769,285,376/34,868
  6. Step 6: Final answer
    x = 79,421.97

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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.