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Finding the Third Proportional to 26,957 and 36,624

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Solution

The third proportional to 26,957 and 36,624 is: 49,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957 : 36,624 = 36,624 : x
  2. Step 2: Convert to fraction form
    26,957/36,624 = 36,624/x
  3. Step 3: Cross multiply
    26,957x = 36,624 × 36,624
  4. Step 4: Simplify right side
    26,957x = 1,341,317,376
  5. Step 5: Solve for x
    x = 1,341,317,376/26,957
  6. Step 6: Final answer
    x = 49,757.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.