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Finding the Third Proportional to 39,829 and 60,050

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Solution

The third proportional to 39,829 and 60,050 is: 90,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,829 : 60,050 = 60,050 : x
  2. Step 2: Convert to fraction form
    39,829/60,050 = 60,050/x
  3. Step 3: Cross multiply
    39,829x = 60,050 × 60,050
  4. Step 4: Simplify right side
    39,829x = 3,606,002,500
  5. Step 5: Solve for x
    x = 3,606,002,500/39,829
  6. Step 6: Final answer
    x = 90,537.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.