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Finding the Third Proportional to 34,936 and 49,385

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Solution

The third proportional to 34,936 and 49,385 is: 69,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,936 : 49,385 = 49,385 : x
  2. Step 2: Convert to fraction form
    34,936/49,385 = 49,385/x
  3. Step 3: Cross multiply
    34,936x = 49,385 × 49,385
  4. Step 4: Simplify right side
    34,936x = 2,438,878,225
  5. Step 5: Solve for x
    x = 2,438,878,225/34,936
  6. Step 6: Final answer
    x = 69,809.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.