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Finding the Third Proportional to 30,214 and 39,099

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Solution

The third proportional to 30,214 and 39,099 is: 50,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214 : 39,099 = 39,099 : x
  2. Step 2: Convert to fraction form
    30,214/39,099 = 39,099/x
  3. Step 3: Cross multiply
    30,214x = 39,099 × 39,099
  4. Step 4: Simplify right side
    30,214x = 1,528,731,801
  5. Step 5: Solve for x
    x = 1,528,731,801/30,214
  6. Step 6: Final answer
    x = 50,596.80

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.