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Finding the Third Proportional to 39,922 and 61,099

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Solution

The third proportional to 39,922 and 61,099 is: 93,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,922 : 61,099 = 61,099 : x
  2. Step 2: Convert to fraction form
    39,922/61,099 = 61,099/x
  3. Step 3: Cross multiply
    39,922x = 61,099 × 61,099
  4. Step 4: Simplify right side
    39,922x = 3,733,087,801
  5. Step 5: Solve for x
    x = 3,733,087,801/39,922
  6. Step 6: Final answer
    x = 93,509.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.