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Finding the Third Proportional to 41,634.50 and 61,349

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Solution

The third proportional to 41,634.50 and 61,349 is: 90,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634.50 : 61,349 = 61,349 : x
  2. Step 2: Convert to fraction form
    41,634.50/61,349 = 61,349/x
  3. Step 3: Cross multiply
    41,634.50x = 61,349 × 61,349
  4. Step 4: Simplify right side
    41,634.50x = 3,763,699,801
  5. Step 5: Solve for x
    x = 3,763,699,801/41,634.50
  6. Step 6: Final answer
    x = 90,398.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.