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Finding the Third Proportional to 31,834 and 49,135

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Solution

The third proportional to 31,834 and 49,135 is: 75,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834 : 49,135 = 49,135 : x
  2. Step 2: Convert to fraction form
    31,834/49,135 = 49,135/x
  3. Step 3: Cross multiply
    31,834x = 49,135 × 49,135
  4. Step 4: Simplify right side
    31,834x = 2,414,248,225
  5. Step 5: Solve for x
    x = 2,414,248,225/31,834
  6. Step 6: Final answer
    x = 75,838.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.